7. which two equations are equivalent?
a. y = (x + 3)2 and y = x2 + 6
b. y = (x – 5)2 and y = x2 – 25
c. y = (x – 3)2 and y = x2 - 6x + 9
d. y = (x + 5)2 and y = x2 + 25x + 10

C. and

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

We are going to use the above two formulas to solve each part and come to an answer

A.

Hence this option is not correct pair

B.

Hence this option is also not correct pair

C.

Hence this option is correct as it have equivalent pair

D.

Hence this option is also not correct pair

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

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