Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make
2 answers:
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Answer:
see below
Step-by-step explanation:
C. The zeros can be read from the x-intercepts of the graph.
The zeros are -20, -5, +15.
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D. For zero "p", a linear factor will be (x -p). The linear factors are ...
(x +20), (x +5), (x -15)
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B. The factored form of the function is ...
f(x) = a(x +20)(x +5)(x -15) . . . . . for some scale factor "a"
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E. The standard form of the function will be the multiplied-out version of the factored form:
f(x) = a(x^3 +10x^2 -275x -1500)
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A. Using the distributive property, the full expanded standard form is ...
f(x) = ax^3 +10ax^2 -275ax -1500a
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F. The graph shows the y-intercept to be y=1. The function of parts E and/or A show the constant to be -1500a, so we have ...
-1500a = 1
a = -1/1500
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G. The graphed function is ...
f(x) = (-1/1500)(x^3 +10x^2 -275x -1500)
See the attachment for a graph.
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<em>Disclaimer</em>
We have tried to decipher the question's parts and to put them in an order corresponding to the way the problem is actually solved. It isn't clear exactly how "multiplied-out" the function is supposed to be at any stage. We have chosen to avoid having fractional coefficients, which may not be what you are expected to do.
