If f(x) = -x2 – 1, and g(x) = x + 5, then f(g(x)) = [ ? ]x2+[? ]x+[?]
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Answer:
Step-by-step explanation:
First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.
The slope formula is:
So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.
x₁ = -3
y₁ = 4
x₂ = 7
y₂= -1
I will plug in these values to find the slope.
Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.
I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.
I added another image that shows how to graph an equation using the equation y=mx+b
