Solving Quadratic Equations by Graphing

What are the solutions to the quadratic equation 2x² - 6x - 8=0?

The graph of y = 2x² - 6x - 8 is shown

• x = -1 and x = 4

• x = 1.5

• (-1, 0) and (4, 0)

• x = -8

This is the function y = - 3x² - 12x + 36.

How many solutions does 0 = -3x² - 12x + 36?

• No Solutions

• One Solution

• Two Solutions

• Impossible to say

What are the solutions to the quadratic function given? Select TWO answers

The ​ (a)   ​ of a function are the values when f(x) is zero. They correspond to the ​ (b)   of the graph and the ​ (c)   of a quadratic equation.​

• zeros
• roots / solutions
• x-intercepts
• y-intercept

Tags

CCSS.HSF-IF.C.7C

Match the graph to the number of solutions to the related quadratic equation.

Groups:

(a) No Solutions

,

(b) One Solution

,

(c) Two Solutions

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• 
• 
• 
• 
• 

y = -x² and y = -2x - 3 are graphed.

What is the solution to the quadratic equation -x² = -2x - 3

• x = 0

• x = -1 and x = 3

• x = -1 and x = 9

• x = -1

The graph of y = x² - 4x + 3 is shown. Match each quadratic equation to its solution(s) using the graph.

• x = 0 and x = 4

• x² - 4x + 3 = -3

• x = 1 and x = 3

• x² - 4x + 3 = 0

• x = 2

• x² - 4x + 3 = -1

• No Solutions

• x² - 4x + 3 = 3