Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
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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
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
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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.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
Answer:
3
Step-by-step explanation:
x-y^2
Let x = 12 y=3
12 - (3)^2
12 -9
3
Answer:
multiply each by -1
-5/6 x -1 = 5/6
-7 3/8 x -1 = 7 3/8
-3/11 x -1 = 3/11
Step-by-step explanation:
Step-by-step explanation:
Answer:
28°
Step-by-step explanation:
complimentary angles = their sum is 90.
so to find the complimentary angle of 62, just subtract it from 90.
90-62 = 28
your answer is 28°
good luck with your schoolwork/homework!
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apologies in advance for incorrect answers or bad explanations.
