Characteristics Quadratics

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by using the quadratic formula.

7x² - 26x - 8 = 0

• x = -1 and x = -7/8

• x = 4 and x = -2/7

• x = -4 and x = 2/7

• x = 4 and x = -7/2

Tags

CCSS.HSA-REI.B.4B

Solve for x. Round to the nearest hundredth if necessary.

3x² = 16x + 12

• x = -0.67 and x = 6

• x = -6 and x = 0.67

• x = 3.33 and x = 18

• x = -3.33 and x = 18

Tags

CCSS.HSA-REI.B.4B

Solve for x. Round to the nearest hundredth if necessary.

2x² = -x + 3

• x = -1 and x = 1.5

• x = 1.5 and x = -1

• x = 1 and x = 1.5

• x = -1.5 and x = 1

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

• x = -10 and x = -4

• x = -4 and x = 10

• x = -8 and x = 4

• x = 8 and x = -4

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula.

2x² - 9x - 35 = 0

• x = 7/2 and x = -6

• x = -5/2 and x =5

• x = -3/7 and x =6

• x = -5/2 and x = 7

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve: n² = 9n - 20

• n = 4 and n = -5

• n = -4 and n = 5

• n = -4 and n = -5

• n = 4 and n = 5

Tags

CCSS.HSA-REI.B.4B

The graph shown here has _________.

• one real solution

• two real solutions

• infinitely many solutions

• no real solutions

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

Which statements are true about the quadratic parent function? Select all that apply.

• It has only one x-intercept.

• It opens downward.

• The range is all real numbers.

• The domain is all real numbers.

Tags

CCSS.HSF-IF.C.7A