Transformation of Polynomial Functions

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

• Reflection across the x-axis, Vertical compress by 1/2, left 8

• Reflection across the x-axis, Vertical compress by 1/2, right 8

• Vertical compress by 1/2, left 8

• Vertical Stretch by 1/2, right 8

• Vertical compression by a factor of 2, and shifted left by 4 units

• Reflected over the x-axis, vertical stretch by a factor of 2, and shifted up 4 units.

• Reflected over the y-axis by a factor of 2, and shifted up by 4 units.

• None

Is the power even or odd?

• Odd

• Even

List the transformations to the parent function in y = -(x + 4)²- 3

• right 4, down 3

• left 4 down 3

• reflect over x-axis, right 4, down 3

• reflect over x axis, left 4, down 3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Vertical compression by 5

• Reflect

• Move up 5

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

Which could be the resulting function?

• g(x)= 2 (x - 3) + 4

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³