Alg 2 Honors Final Review(Quadratics)

What is the parent function of a quadratic?

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

If the blue graph is
f(x) = x² 
the red must be...

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

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

What is the vertex of the following equation:
y=-3(x-2)² - 4?

• (-2,-4)
• (2,-4)
• (3,-4)
• (2,4)

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

• F

• G

• H

• J

Convert the equation

f(x) = x² - 12x + 40

into vertex form

• f(x) = (x + 6)² - 4

• f(x) = (x + 6)² + 4

• f(x) = (x - 6)² - 4

• f(x) = (x - 6)² + 4