Quadratic Equations

The point(s) at which the graph intersects the x-axis are called the:

• zeros

• x-intercepts

• solutions

• roots

Tags

CCSS.HSF-IF.C.7A

The formula for the discriminant is:

• x = -b/2a

• y = -b/2a

• d = b² - 4ac

• y = ax² + bx + c

Tags

CCSS.HSA-REI.B.4B

Find the axis of symmetry and vertex for y = x² + 6

• x = -3; vertex (-3, 15)

• x = -3, vertex (-3, -3)

• x = 0; vertex (0, 6)

• x = 0; vertex (0, 8)

Use the discriminant to find the number of solutions to y = -x² - 5

• 2

• 1

• 0

Tags

CCSS.HSA-REI.B.4B

What is the vertex of the quadratic equation y = 1/2 (x + 4)² - 8

• (4, 8)

• (4, -8)

• (-4, 8)

• (-4, -8)

Write an equation in vertex form given the following transformations to the parent function: Translated seven units right and 2 units up

• y = (x - 7)² + 2

• y = (x + 7)² - 2

• y = (x + 2)² + 7

• y = (x - 2)² - 7

Write an equation in vertex form given the following transformations of the parent function: Stretched by a factor of 2 then four units left and one unit down.

• y = 2(x + 4)² + 1

• y = 2(x - 4)² - 1

• y = 2(x + 4)² - 1

• y = 2(x - 4)² + 1

What is the vertex and range for the parabola above?

• (-2, -3) y is less than or equal to -3

• (-2, -3), y is greater than or equal to -3

• (0, -1); y is less than or equal to -1

• (0, -1); y is greater than or equal to -1

Tags

CCSS.HSF-IF.C.7A

• No solution

• One solution

• Two solutions

• Infinite solutions

Tags

CCSS.HSA-REI.B.4B

• 0

• 4

• -4

• 8

Tags

CCSS.HSA-REI.B.4B