Answer:
Step-by-step explanation:
You want to know the intercepts of g(x) = -2f(x), where the intercepts of f(x) are (0, 5), (2, 0) and (-4, 0).
The scale factor of -2 applied to f(x) multiplies each of the y-coordinates by -2.
(x, y) ⇒ (x, -2y)
(0, 5) ⇒ (0, -10) . . . . y-intercept
(2, 0) ⇒ (2, 0) . . . . . x-intercept
(-4, 0) ⇒ (-4, 0) . . . . x-intercept
The intercepts of g(x) are (0, -10), (2, 0) and (-4, 0).
The intercepts of g(x) = -2f(x) are (0, -10), (2, 0), and (-4, 0).
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
f(x) has a y-intercept at 5 and x-intercepts at 2 and −4.
This means,
(0, 5), (2, 0), and (-4, 0)
Now,
g(x) = -2f(x).
This means,
Vertical scaling.
Multiply -2 with the y-coordinate.
(0, 5) = (0, -10)
(2, 0) = (2, 0)
(-4, 0) = (-4, 0)
Now,
The intercepts are (0, -10), (2, 0), and (-4, 0).
Learn more about coordinates here:
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