5/1 Transformations of Functions

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

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

• Vertical stretch by 5
• Horizontal compress by 5
• Reflect
• Move up 5

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17
• f(x)= -(x-17)²
• f(x)= -(x+17)²
• f(x)= -x²+17

If the value of "a" is greater than 1, the graph will be...

• stretched vertically

• compressed vertically

The value of "h" tells us the graph will...

• be compressed vertically

• be stretched vertically

• move horizontally

• move vertically

The value of "k" tells us the graph will...

• be compressed vertically

• be stretched vertically

• move horizontally

• move vertically

If "a" is negative the graph will

• move up or down

• move left or right

• become skinnier or wider

• reflect across the x-axis

Match the equation to its description.

• Reflected over the x-axis, right 2 and up 1

• Reflected over the x-axis, left 2 and up 1

• Reflected over the x-axis, right 2 and down 1

• Reflected over the x-axis, left 2 and down 1