Suppose that Fx) = x2 and G(x) = 4x2 - 2. Which statement best compares the graph of G(x) with the graph of F(x)?
O A. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 2 units down.
B. The graph of G(x) is the graph of F(x) compressed vertically and
shifted 2 units to the right.
C. The graph of G(X) is the graph of F(x) stretched vertically and
shifted 2 units to the right.
D. The graph of G(x) is the graph of F(x) stretched vertically and
shifted 2 units down.
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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

um is there supposed to be a picture?

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

is there more info provided? there is not enough information given in the problem