The table below represents the values of a quadratic equation in standard form.

Based on this table, what is the solution(s) for this equation?

  1. No solution.
  2. x = -5 or x = -3
  3. x = 0
  4. y = 16

A
Incorrect. The solution of a quadratic equation is related to the x-intercept.

B
Correct! The solution to a quadratic equation is found when y = 0.

C
Incorrect. You are looking for the x-value when the value of the quadratic is 0.

D
Incorrect. Find the y1 value that represents the solution of the quadratic.

The table represents the values of a quadratic equation in standard form.

x
y
0
72
1
50
2
32
3
18
4
8
5
2
6
0
7
2
8
8
9
18
10
32

What does this table tell you about the solution(s)?

A. No solution
Incorrect. The solution of a quadratic equation is related to the x-intercept.

B. 1 solution
Correct! Only x=6 has a y –value of 0.

C. 2 solutions
Incorrect. Recall that the x-intercept(s) is the solution.

D. 3 solutions
Incorrect. Think about the maximum number of x-intercepts for a quadratic function.

The table represents the values of a quadratic equation in standard form.

x
y
-7
15
-6
2
-5
-7
-4
-12
-3
-13
-2
-10
-1
-3
0
8
1
23
2
42

Based on this table, the roots are between what x-values?

A. 2 and -7, -3 and 8
Incorrect. Find the corresponding x-values for these zeros.

B. -7 and -5, -1 and 1
Incorrect. Can you narrow down the solution?

C. -1, 1
Incorrect. First find where 0 might be located in the y-column.

D. -6 and -5 or -1 and 0
Correct! You noticed the change in the sign of the y-values.

The table below represents some of the values of a quadratic equation in standard form.

Which of the following would be the best approximation of the root described by this table?

A. -.6
Correct! -.08 is closest to 0.

B. -.3
Incorrect. First, find the y-value that is closest to 0.

C. -.08
Incorrect. Once you find the y-value closest to zero, locate the corresponding x-value.

D. -.5
Incorrect. There is another corresponding y-value closer to 0.