Quadratic Transformations Tables

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

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

What is the equation of the quadratic function obtained from widening the parent function by a factor of 0.5 and then reflecting across the x-axis?

• f(x)= 0.5x²

• f(x)= -0.5x²

• f(x)= -(x-0.5)²

• f(x)= x²+0.5

Which equation has the same graph as y=4x²+8x+8?

• y=4(x+1)²+4

• y=4(x+1)²+2

• y=(4x+1)²+2

• y=(4x+1)²+1

Quadratic functions p and q are grpahed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

Which graph will be the widest?

• F(x) = 0.2(x + 4)² - 6

• F(x) = 0.7(x + 4)² - 6

• F(x) = 5(x + 4)² - 6

• F(x) = -6(x + 4)² - 6

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

• -

• vertical stretch

• 2

• right

• 4

• reflect

• 3

• up

Which of the following are true for the table of quadratics shown?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the equation of the quadratic shown in vertex form?

Given the function f(x) = -(x - 3)^2, what is the parent function?

• f(x) = x

• f(x) = x^2

• f(x) = x^3

• f(x) = \sqrt{x}

Given the function f(x) = -(x - 3)^2, what is the transformation from the parent function?

• Reflection over the x-axis and horizontal shift left 3 units

• Reflection over the x-axis and horizontal shift right 3 units

• Reflection over the y-axis and horizontal shift left 3 units

• Reflection over the y-axis and horizontal shift right 3 units