D is the answer
because you are doing y=2(x+3)^2 - 5
First, do exponents
(x+3)(x+3) = x^2 + 6x + 9
now Multiply your answer by 2
2(x^2 +6x + 9) = 2x^2 + 12x + 18
Then, Subtract 5 from 18
2x^2 +12x + 18-5 = 2x^2 + 12x + 13
bringing you to answer D
Answer:
f(x) = |x + 1| + 1
Step-by-step explanation:
A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.
f(x) = -|x-1| -1
reflection over the x-axis:
-f(x) = (-1)*(-|x-1| -1) = |x-1| +1
reflection over the y-axis of the previous function:
-f(-x) = |-x-1| +1 = |x + 1| + 1
which is the reflection of f(x) about the origin
Answer:
neither a relation or function (for both 3 and 4)
Step-by-step explanation:
Answer:
y = 5x
Step-by-step explanation:
The equation for direct variation is y = kx, where k is the factor of variation. So we know that y and x must fit into this formula.
They've given us a y and x value to solve for k.
y = kx
15 = 3k
15/3 = k
<u>k = 5</u>
Plug k back into our equation.
y = 5x
