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Vedmedyk [2.9K]
3 years ago
11

If f(x) = x2, which of the following describes the graph of f(x) - 5? A)The graph of f(x) - 5 is a vertical shift of f(x) = x2 f

ive units up. B)The graph of f(x) - 5 is a vertical shift of f(x) = x2 five units down. C)The graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the right. D)The graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the left.
Mathematics
2 answers:
lana [24]3 years ago
6 0
F(x) = x^2 is a parabola with vertex at the origin (0,0).
f(x) = x^2 - 5 is a parabola shifted down 5 units so it's vertex would be at (0, -5)
The correct answer is Letter B
nevsk [136]3 years ago
5 0

Answer:

Option B The graph of f(x)-5 is a vertical shift of f(x)=x^{2} five units down.

Step-by-step explanation:

we have

f(x)=x^{2}

Is a vertical parabola open upward with the vertex at (0,0)

Let

g(x)=f(x)-5

so

g(x)=x^{2}-5

Is a vertical parabola open upward with the vertex at (0,-5)

The rule of the translation of f(x)-----> g(x) is equal to

(x,y)------> (x.y-5)

That means-----> The translation is 5 units down

therefore

The graph of f(x)-5 is a vertical shift of f(x)=x^{2} five units down.

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