Equation Models

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

• y = -(x-6)(x-8)

• y = -(x+6)(x+8)

• y = (x-6)(x+8)

• y = (x+6)(x-8)

Write a quadratic equation given the x intercepts and one other point.

Step 1: Identify the x-intercepts and write the eqution in factored form

• y = a(x - 6)(x -8)

• y = a(x+6)(x+8)

• y = a(x-6)(x+8)

• y = a(x+6)(x-8)

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

y = a(x-6)(x-8)

What is the value of a?

• a = 1

• a = -1

• a = 7

• a = -7

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A

What is the quadratic function for the graph in factored form?

• y = (x - 2)(x - 6)

• y = - (x - 2)(x - 6)

• y = (x + 2)(x + 6)

• y = (x + 4)(x - 4)

Tags

CCSS.HSF-IF.C.7A

Which equation is represented by the model?

• 4x = 2

• x/2 = 4

• 4 = 2x

• x + x = 4

Tags

CCSS.HSA.CED.A.3

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Tags

CCSS.6.EE.B.7

Which solution makes the model true?

• x = -3

• -x = 5

• x = -5

• -x = 3

• -x = 4

Tags

CCSS.6.EE.B.5

Solve for the missing variable:

• x = -7

• x = 7

• x = 21

• x = 14

Tags

CCSS.6.EE.B.7

Solve for the missing variable:

• f = 19

• f = 31

• f = 12

• f = 50

Tags

CCSS.6.EE.B.5