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Properties of quadratic functions

Determine whether the parabola opens upward or downward ?

f(x)=5x2+x+1f(x)=5x^2+x+1

Is the sentence true or false?

The domain of a quadratic function is all real numbers

Determine whether the parabola opens upward or downward

 f(x)=x2+2x+1f(x)=-x^2+2x+1

Determine the axis of symmetry for  f(x)=x26x+8f(x)=x^2-6x+8

Determine the vertex for f(x)=x26x+8.f(x)=x^2-6x+8.

Determine the axis of symmetry for f(x)=x2+2x+1f(x)=x^2+2x+1

Is the sentence true or false?

The graph of a quadratic function is always a parabola.

Is the sentence true or false?

The graph of a quadratic function is always a straight line.

Determine whether the parabola opens upward or downward 

f(x)=3x2+6x+2.f(x)=-3x^2+6x+2.

Is the sentence true or false?

The domain of a quadratic function is set of integers.