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

• 3

• reflect

• 2

• right

• 4

• up

• -

• vertical stretch

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