quadratic functions

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Find the x-intercepts of

 $g\left(x\right)=x^2+5x-14$  

•  $x=-7,2$  

•  $x=-7,-2$  

•  $x=7,2$  

•  $x=7,-2$  

Which of the following functions graphs the parabola shown?

• y = x² - 4x + 1
• y = -2x² - 8x - 3
• y = x² - 4x + 5
• y = 2x² + 6x + 1

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

Find the x-intercepts of

 $h\left(x\right)=x^2-8x+12$  

•  $x=2,6$  

•  $x=-6,-2$  

•  $x=-6,2$  

•  $x=-2,6$  

What is the formula above primarily used for?

• Finding the axis of symmetry from standard form
• Finding the vertex from standard form
• Finding the vertex from vertex form
• Finding the vertex from standard form

Given the equation above, find h(-3).

• -13
• 5
• -23
• 23

Which of the following functions graphs the parabola shown?

• y = -x² - 6
• y = -x² + 6
• y = x² - 6
• y = x² + 6x

Find the vertex of

 $y=-\frac{1}{2}\left(x+11\right)^2-4$  

•  $\left(-11,-4\right)$  

•  $\left(11,-4\right)$  

•  $\left(11,4\right)$  

•  $\left(-11,4\right)$