Quadratic Transformations & Vertex Form Practice

• Shrink by 1/4

• Stretch by 1/4

• Reflection over the x-axis

• Shift up by 1/4

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Shrink by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Shrink by 5, shifted 2 units left and 2 down

Match the equation to its description.

• Vertically stretched by 4 and shifted up 4

• Vertically shrink by 4 and shifted up 4

• Vertically stretched by 4 and shifted right 4

• Vertically shrink by 4 and shifted right 4

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically shrink by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically shrink by 2 and shifted left 4

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

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

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1; Minimum is -1

• y = (x - 3)² + 1; Minimum is -1

• y = (x + 6)² - 10; Maximum is -10

• y = (x - 6)² + 10; Maximum is 10

• (4,8) ; Minimum

• (-4,-8) ; Minimum

• (4,-8) ; Maximum

• (-4,8) ; Maximum

Identify the vertex and whether the graph points up or down.

• (-1, 4) ; Minimum

• (-1, 4) ; Maximum

• (1, 4) ; Minimum

• (1, 4) ; Maximum

Convert the equation y= -x² + 4x + 11 into vertex form.

• y = -(x + 2)² - 4; Minimum is -4

• y = -(x + 2)² + 15; Maximum is 15

• y = (x + 2)² ; Minimum is 0

• y = (x - 2)² - 15 ; Maximum is -15