Which equation is a function of x? a. x=5 b. x=y2+9 c. x2=y d. x2=y2+16

A function is a process or a relation that associates each element x of a set X  to a single element y of another set Y.

A. The equation represents vertical line. This is not a function, because one element x=5 is associated to all (not one) elements of

B. The equation represents parabola that goes in positive x-direction. This is not a function, because each is associated to two different y. For examlpe, when x=10, then

C. The equation represents parabola that goes in positive y-direction. This is the function, because for each x is associated only one y.

D. The equation represents hyperbola. This is not a function, because for one x there are two different possible y.

correct choice is C

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1