Algebra II Midterm Exam

What is the parent function of a quadratic?

• $y=x$

• $y=x^2$

• $y=\sqrt{x}$

• $y=\left|x\right|$

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

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

What is the axis of symmetry for 
f(x)=4(x-2)² + 3

• 4
• 2
• x = -2
• x = 2

Which equation in vertex form matches the quadratic graph?

Find the vertex of

f(x) = -x² - 4x + 12

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)