Question

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Answer 1

The functions whose graphs include the point (16, 4) is y = x−12.

Option: D.

Step-by-step explanation:

To find the function that passes through the point (16,4).

Substitute the point in all the equations and equate the final values to find the correct equation.

A. y=2x.

Substitute (16,4).

4=2(16).

4≠32.

Thus the equation doesn't contains the point (16,4).

B. y=$x^2$.

Substitute (16,4).

4=$16^2$.

4≠ 256.

Thus the equation doesn't contains the point (16,4)

C. y=x+12.

4=16+12.

4≠28.

Thus the equation doesn't contains the point (16,4)

D. y=x−12.

4=16-12.

4=4.

Thus the equation contains the point (16,4)

E. y=14x.

4=14(16).

4≠224.

Thus the equation doesn't contains the point (16,4)

∴The functions whose graphs include the point (16, 4) is y = x−12.