Solving Quadratics by Graphing

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

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

How many solutions does this graph have?

• one
• two
• no solutions
• cannot be determined

What is another name for the x-intercepts and solutions of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

Tags

CCSS.HSF-IF.C.7C

Which of the following equations is quadratic?

• y = x³ + 1

• x + 10x = 4x²

• 3x - 2 = y

• y = 3(2)^x

How many solutions does f(x) = 5x² -2x + 3 have?

• None

• One

• Two

• Three

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

Find the zeros.

• 0 and 4
• 0 and -4
• 0
• -4

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Identify the roots of the quadratic.