Suppose g(x) = (x - 4)2 - 5. Which statement best compares the graph of g(x) with the graph of f(x) = x??
A. The graph of g(x) is shifted 4 units right and 5 units up.
O B. The graph of g(x) is shifted 4 units left and 5 units up.
C. The graph of g(x) is shifted 4 units right and 5 units down.
O D. The graph of g(x) is shifted 4 units left and 5 units down.

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C. The graph of g(x) is shifted 4 units right and 5 units down.

Step-by-step explanation:

Recall that the formula for the transformations of a parabola is:

f(x) = ±a(b(x-h))²+ k

'h' represents any horizontal shifts, while:

'k' represents vertical shifts.

In this instance, h = 4 and k = -5. This means that there is a shift right of 4 units and a shift down of 5.

C

Step-by-step explanation:

It's essential that you use " ^ " to indicate exponentiation:

(x - 4)2 is invalid;

(x - 4)^2 is correct;

(x - 4)² is would be even better.

Starting with the graph of f(x) = x², we first shift the entire graph 4 spaces to the right and then shift this new graph down by 5 units.  That's Answer C.

17

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula