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Gwar [14]
4 years ago
6

On a separate piece of graph paper, graph y = -|x| + 1; then click on the graph until the correct one appears.

Mathematics
2 answers:
love history [14]4 years ago
4 0

Answer:

Select the correct option similar to given graph.

Step-by-step explanation:

The below graph shows the plot for y = -|x| + 1.

Select the correct option similar to given graph.

a_sh-v [17]4 years ago
3 0
|x| is tricky but maybe I can tell you so that it's clear 4ever.

You have to look at when what's inside the absolute value iszero. In this case x=0. That easy. Then, you have to split the cases:

For x>= 0, you have y = -x+1,

For x<=0, you have y = -(-x) + 1 = x+1, because abs(x)=-x, if x<=0.

Notice that x=0 is included in either case, because |x| is continuous.

Then plot each line choosing a couple of points, notice that for one case you should choose x=-1, -2, or x=0, but not positive values, and the other way for the case with x>=0.

Best
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Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

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The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

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