Unit 8 Test Review

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

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

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

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

What equation represents the quadratic function?

• y = (x - 4)²
• y = (x + 4)²
• y = x² - 4
• y = x² + 4