F(x) = x2. What is g(x)?

Mathematics

1 answer:

Inessa [10]2 years ago

8 0

Answer: C

<u>Step-by-step explanation:</u>

f(x) = x²

g(x) has the same vertex as f(x) but is wider so has a vertical stretch by a factor of (1/3).

g(x) = (1/3)x²

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Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

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We have these system of inequalities:

$\left \{ {{3x+y>-3} \atop {x+2y$

In this way, we have two straight lines that can be solved as follows:

$(1) \ 3x+y=-3 \therefore y=-3x-3 \\ \\ (2) \ x+2y=4 \therefore y=-\frac{x}{2}+2$

This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):

$\left \{ {{3x+y>-3} \atop {x+2y-3} \atop {(0)+2(0)-3} \atop {0$