Functions (quadratic)

Select all the Statements that are TRUE. 

  $y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5$  

• The Vertext is (-2, 5)

• There is a Minimum Value of 5

• There is a Maximum Value of 5

• The A.O.S is x = -2

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Find the axis of symmetry for
f(x) = x² - 8x + 15.

Mathematical Equivalence

ON

Does the following function have a maximum or a minimum
f(x) = 3x² + 2x - 7

• Maximum
• Minimum

Find the axis of symmetry for f(x) = (x + 5)(x - 1) 

• x = 2
• x = -2
• x = 4
• x = -4

What is the axis of symmetry for the following quadratic equation? (Hint: Use Desmos and look for the x-value of the vertex!)
 $y=-x^2+6x-2$ 

• x = -2

• x = 3

• x = 1

• x = 0

What is the x-coordinate of the vertex of the parabola whose equation is:

 $f\left(x\right)=-x^2-4x+12$  

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

This quadratic equation is in "Standard Form." This form can help us identify what information easily?

• the y-intercept

• the vertex

• the zeroes/roots

What function is equivalent to

 $y=3\left(x+2\right)^2+7?$  

•  $y=3x^2+12^2x+33$  

•  $y=3x^2+12x+19$  

•  $y=3x^2+19$  

•  $y=3x^2+33$  

Find the vertex for the following y = x² - 4x + 3

• (-2, 15)

• (2, 3)

• (-2, 7)

• (2, -1)