Vertex Form of a Quadratic

Multiple Choice

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Multiple Choice

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Multiple Choice

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

Multiple Choice

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units
• Vertical shift down 8 units
• Horizontal shift right 8 units
• Horizontal shift left 8 units

Multiple Choice

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8

Multiple Choice

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Multiple Choice

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

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Multiple Choice

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• Axis of symmetry / Line of symmetry

• line of dashes

Multiple Choice

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

• y = 4

• y = - 4

• x = 4

• x = - 4