Solve Quadratics by Graphing

Solving Quadratic Equations by Graphing

Steps in solving quadratic equations by graphing:

1. Graph the quadratic equation.

2. The solution or solutions to the quadratic equation is/are the x value/s of the x-intercept/s.

3. When there are no x-intercepts, the quadratic equation has no real solution.

Multiple Choice

What are the zeros of the quadratic function?

y = x² - 2x - 15

• x = -2

  x = -15

• x = -3

  x = 5

• x = 3

  x = -5

• x = 1

  x = -16

Multiple Choice

What are the solutions of this graph?

• -2 and 3

• -1/2 and -6

• -2 and -6

• 3 and -6

Multiple Choice

Which of the following is a solution to the function? (x - 8)(x - 9) = 0

• 8

• -9

• -17

• 0

Multiple Choice

What are the zeros of x²+9x+14

• 2, 7

• -2, -7

• 2, -7

• -2, 7

Multiple Choice

Calculate the roots of the quadratic.

• x = 6 and 3

• x = 1 and 0

• x = 0 and 3

• x = 3 and 1

Multiple Choice

What are the roots of the function

f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3

• x = 2 or x = -3

• The are no real roots

• x = 2 or x = 3

Multiple Choice

Which is a zero of the graph?

• 0

• -1

• 1.5

• -3

Multiple Choice

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Multiple Choice

What is another name for the solutions to a quadratic?

• A

  y-intercepts

• B

  Zeros

• C

  Maximums

• D

  Minimums

Multiple Choice

How many solutions does the function have?

• A

  No Real Solutions

• B

  One Real Solution

• C

  Two Real Solutions

• D

  Four Real Solutions

Multiple Choice

How many solutions does the function have?

• A

  No Real Solutions

• B

  One Real Solution

• C

  Two Real Solutions

• D

  Four Real Solutions

Multiple Choice

What is a solution of the function ?

• A

  -1

• B

  0

• C

  2

• D

  -9

Multiple Choice

The solutions of a quadratic equation are known as the _____.

• Vertices

• Roots

• Squares

• Formulas

Multiple Choice

What are the zero(s) of $$y=x^2+2x-3$$  

• $$x=-3,\ x=1$$  

• $$x=-3$$  

• $$x=1$$  

• $$x=-1,\ x=-4$$  

Multiple Choice

What are the zero(s) of this graph?

• $$x=-4$$

• $$x=4,0$$

• $$x=-4,0$$

• $$x=4$$

Multiple Choice

What are the zeros of this graph?

• $$x=-1,2$$

• None

• $$x=1,2$$

• $$x=2,4$$

Multiple Choice

What are the zeros of this graph?

• $$x=-4,1$$

• None

• $$x=-2,0$$

• $$x=2,-3$$

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Multiple Choice

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Multiple Select

The solution(s) to the above equation is/are:

• x = -4

• x = 4

• x = 0