Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Which quadratic equation fits the data in the table?

Answer 1

The answer is -x^2+7x+1 I think

Explanation:

Answer 2

Answer: (D) y = x² + 7x + 1

Explanation:

Since a table of x,y-values are given, choose a coordinate and plug it into each equation to see which results in a true statement. If more than one equation is true, then choose another coordinate and plug it into the true equations from the previous coordinate.

Let's try (0, 1):

(A) y = x² - 7x - 1

1 = (0)² - 7(0) - 1

1 = -1

FALSE, So A is not the quadratic equation we are looking for

(B) y = x² - 7x + 1

1 = (0)² - 7(0) + 1

1 = 1

TRUE, So B could be the quadratic equation we are looking for

(C) y = -x² + 7x + 1

1 = -(0)² + 7(0) + 1

1 = 1

TRUE, So C could be the quadratic equation we are looking for

(D) y = x² + 7x + 1

1 = (0)² + 7(0) + 1

1 = 1

TRUE, So D could be the quadratic equation we are looking for

Let's try (1, 9) for B, C, and D:

(B) y = x² - 7x + 1

9 = (1)² - 7(1) + 1

9 = -5

FALSE, So B is not the quadratic equation we are looking for

(C) y = -x² + 7x + 1

9 = -(1)² + 7(1) + 1

9 = 7

FALSE, So C is not the quadratic equation we are looking for

(D) y = x² + 7x + 1

9 = (1)² + 7(1) + 1

9 = 9

TRUE, So D is the quadratic equation we are looking for!