Amira sells balloon animals. She uses the same number of balloons for each animal she makes.
1 answer:
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f(x) = 5
g(x) =
(f-g)(x) = 5 -
(f * g)(x) = 5 =
(f/g)(x) = =
f(g(x)) = 5
Hi there!
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)