The graph of function g(x) is a transformation of the graph of function f(x) = x^2.

g(x) =

a.) 2x^2+3
b.) -2x^2-3
c.) -1/2x^2-3
d.) 1/2x^2-3

B.) -2x^2-3

Step-by-step explanation:

You only need to look at the values of the offered answers for x=1 in order to determine the correct one.

A.) for x = 1, 2·1+3 = 5

B.) for x = 1, -2·1-3 = -5 . . . . matches the graph

C.) for x = 1, -1/2·1-3 = -3 1/2

D.) for x = 1, 1/2·1-3 = -2 1/2

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Comparing the values at x=1 to the values at x=0, you find that f(1)-f(0) = 1, while g(1)-g(0) = -2. This tells you the multiplier is -2, so matches choice B.

The fact that the vertex of g(x) is 3 units below that of f(x) tells you that -3 has been added to the product -2x^2.

Comment on vertical scale factor

Since 1^2 = 1, it is often convenient to look at a point that is 1 unit away from the vertex of the function. The function value relative to the vertex value at that point will tell you the vertical scale factor.

For example, we know that the coefficient of x^2 is 1 in f(x), and we see on the graph that f(1) is 1 unit above the vertex at (0, 0). The value of g(1) is -5, which is 2 units below the vertex of g(x) at (0, -3). So, the vertical scale factor is -5-(-3) = -2.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

6x = 48

i hope this . 6 cards each and a total of $48. dvide each side by 6 and you will have your answer.