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Help! i don’t understand this Question!

Help! i don’t understand this Question!-example-1
User Julina
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2 Answers

5 votes

Answer:

h = 2.5

Explanation:

This question deals with a translation applied to the parent function, f(x) = |x|.

The parent function of the absolute value equation is f(x) = |x|. The graph of f(x) = |x| is a V-shaped graph as shown in the graph, but the vertex of the V is at (0, 0).

When you substitute x - h for x, you translate the parent function h units horizontally. When you substitute y - k for y, you translate the parent function k units vertically.

Think of the parent function described above, f(x) = |x|.

Its vertex is at the origin, (0, 0).

Now look at the function in your graph. It is a horizontal and vertical translation of the parent function since the vertex is now at (2.5, 1.5).

The horizontal translation was from x = 0 to x = 2.5, so h is 2.5.

As mentioned above, when you substitute x - h for x, you translate the function h units horizontally. Since the horizontal translation is 2.5, h = 2.5.

Answer: h = 2.5

User Nafis
by
7.7k points
6 votes
It’s -2.5 because the x’s are always the opposite of what they look like. It looks like a positive 2.5 on the graph but because of the negative sign in the vertex form, it’s gonna be -2.5
User George Hilliard
by
8.3k points

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