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Variation Function (ƒ + k)

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2-1$

$f\left(x\right)=\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

What is the value of k in the variation function f(x)=kx given that f(x)=2 when x=4?

$\frac{1}{2}$

$\frac{1}{4}$

2

Consider the function $f\left(x\right)=$ $x^2$ Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$

If x varies directly as y and inversely as z, and x=10, when y=15 and z=3, what is the value of k?

2

1 $\frac{1}{2}$

What is the value of k in the variation function f(x)=kx given that f(x)=8 when x=20?

$\frac{4}{5}$

$\frac{5}{4}$

$\frac{8}{5}$

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ .. Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$

Questions

Time

Score

Variation Function (ƒ + k)

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2-1$

$f\left(x\right)=\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

What is the value of k in the variation function f(x)=kx given that f(x)=2 when x=4?

$\frac{1}{2}$

$\frac{1}{4}$

2

Consider the function $f\left(x\right)=$ $x^2$ Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$

If x varies directly as y and inversely as z, and x=10, when y=15 and z=3, what is the value of k?

2

1

$\frac{1}{2}$

What is the value of k in the variation function f(x)=kx given that f(x)=8 when x=20?

$\frac{4}{5}$

$\frac{5}{4}$

$\frac{8}{5}$

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ .. Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$

Incorrect

Great!

Questions

Time

Score

Variation Function (ƒ + k)

Consider the function ﻿f(x)=12x2f\left(x\right)=\frac{1}{2}x^2f(x)=21​x2﻿ . Which of the following is the vertical shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=12x2−1f\left(x\right)=\frac{1}{2}x^2-1f(x)=21​x2−1﻿

﻿f(x)=12(x−1)2f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2f(x)=21​(x−1)2﻿

Consider the function ﻿f(x)=x2f\left(x\right)=x^2f(x)=x2﻿ . Which of the following is the horizontal shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=x2−1f\left(x\right)=x^2-1f(x)=x2−1﻿

﻿f(x)=(x−1)2f\left(x\right)=\left(x^{ }-1\right)^2f(x)=(x−1)2﻿

Consider the function ﻿f(x)=3x2f\left(x\right)=3x^2f(x)=3x2﻿ . Which of the following is the vertical shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=3x2+1f\left(x\right)=3x^2+1f(x)=3x2+1﻿

﻿f(x)=3(x+1)2f\left(x\right)=3\left(x^{ }+1\right)^2f(x)=3(x+1)2﻿

What is the value of k in the variation function f(x)=kx given that f(x)=2 when x=4?

﻿12\frac{1}{2}21​﻿

﻿14\frac{1}{4}41​﻿

2

Consider the function ﻿f(x)=f\left(x\right)=f(x)=﻿ ﻿x2x^2x2﻿ Which of the following is the horizontal shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=x2+1f\left(x\right)=x^2+1f(x)=x2+1﻿

﻿f(x)=(x+1)2f\left(x\right)=\left(x^{ }+1\right)^2f(x)=(x+1)2﻿

If x varies directly as y and inversely as z, and x=10, when y=15 and z=3, what is the value of k?

2

1

﻿12\frac{1}{2}21​﻿

What is the value of k in the variation function f(x)=kx given that f(x)=8 when x=20?

﻿45\frac{4}{5}54​﻿

﻿54\frac{5}{4}45​﻿

﻿85\frac{8}{5}58​﻿

Consider the function ﻿f(x)=12x2f\left(x\right)=\frac{1}{2}x^2f(x)=21​x2﻿ .. Which of the following is the horizontal shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=12x2−1f\left(x\right)=\frac{1}{2}x^2-1f(x)=21​x2−1﻿

﻿f(x)=12(x−1)2f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2f(x)=21​(x−1)2﻿

Consider the function ﻿f(x)=3x2f\left(x\right)=3x^2f(x)=3x2﻿ . Which of the following is the horizontal shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=3x2+1f\left(x\right)=3x^2+1f(x)=3x2+1﻿

﻿f(x)=3(x+1)2f\left(x\right)=3\left(x^{ }+1\right)^2f(x)=3(x+1)2﻿

Consider the function ﻿f(x)=x2f\left(x\right)=x^2f(x)=x2﻿ . Which of the following is the vertical shift of ﻿f(x)f\left(x\right)f(x)﻿ ?

﻿f(x)=x2+1f\left(x\right)=x^2+1f(x)=x2+1﻿

﻿f(x)=(x+1)2f\left(x\right)=\left(x^{ }+1\right)^2f(x)=(x+1)2﻿

Incorrect

Great!

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2-1$

$f\left(x\right)=\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

$\frac{1}{2}$

$\frac{1}{4}$

Consider the function $f\left(x\right)=$ $x^2$ Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$

$\frac{1}{2}$

$\frac{4}{5}$

$\frac{5}{4}$

$\frac{8}{5}$

Consider the function $f\left(x\right)=\frac{1}{2}x^2$ .. Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=\frac{1}{2}x^2-1$

$f\left(x\right)=\frac{1}{2}\left(x^{ }-1\right)^2$

Consider the function $f\left(x\right)=3x^2$ . Which of the following is the horizontal shift of $f\left(x\right)$ ?

$f\left(x\right)=3x^2+1$

$f\left(x\right)=3\left(x^{ }+1\right)^2$

Consider the function $f\left(x\right)=x^2$ . Which of the following is the vertical shift of $f\left(x\right)$ ?

$f\left(x\right)=x^2+1$

$f\left(x\right)=\left(x^{ }+1\right)^2$