Question

Which of the following accurately depicts the transformation of y=x^2 to the function shown below? y=2(x+3)+4

a. shift left 3 units, shrink vertically to 1/2 of the original height, then shift up 2 units.
b. shift 3 units right, stretch vertically by a factor of 4, then shift up 2 units.
c. shift left 3 units, stretch vertically by a factor of 2, then shift up 4 units.
d. shift up 3 units, stretch horizontally by a factor of 2, then shift left 4 units.

**APEX**

Answer 1

Answer with explanation:

≡The Original Function

y=x²------(1)

This function represents parabola,having vertex at the origin(0,0).

≡Function after transformation

⇒ y=2×(x+3)²+4

⇒y-4=2×(x+3)²------(2)

When you compare the two functions, that is 1 and 2,by drawing the graph on two dimensional plane,

⇒Function 2, has been shifted 3 units left,4 units up and stretched vertically by a factor of 2.

Option C. Shift left 3 units, stretch vertically by a factor of 2, then shift up 4 units.