Correct answers only ! which quadratic equation fits the data in the table?

(D) y = x² + 7x + 1

Step-by-step 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!

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step-by-step explanation: