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lbvjy [14]
3 years ago
12

Write y=-5x^2+15 in vertex form

Mathematics
1 answer:
GaryK [48]3 years ago
4 0
In vertex form it will look like this

y = −5 (x+0) 2 + 15
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This is the graph of y = -x2 - 2x + 8.<br><br> What is the range of this function?
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Hi there!

\large\boxed{(-\infty, 9)}

We can find the range using completing the square:

y = -x² - 2x + 8

Factor out a -1:

y = -(x² + 2x) + 8

Use the first two terms. Take the second term's coefficient, divide by 2, and square:

y = -(x² + 2x + 1) + 8  

Remember to add by 1 because we cannot randomly add an additional number into the equation:

y = -(x² + 2x + 1) + 8 + 1

Simplify:

y = -(x + 1)² + 9

Since the graph opens downward (negative coefficient), the range is (-∞, 9)

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angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of
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Answer:

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