A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is given by the quadratic function y = -16x^2+32x+3.
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=x^2.

Answer:

The given equation has a y-intercept at (0, 3).

y = -16x^2 + 32x + 3 = -16(x^2 - 2x) + 3 = -16(x - 1)^2 + 19. This means the vertex is at (1, 19).

To transform the y = x^2 graph:

First we invert the graph with respect to the x-axis, maxing it a downward parabola y = -x^2.

Next, we move its vertex from the origin (0, 0) to (1, 19), making the equation y = -(x - 1)^2 + 19.

Third, we "expand" the opening of the parabola such that it passes through the y-intercept of (0, 3). The right-side of the parabola should also be expanded similarly, since it is symmetric.

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what is 20% of 240 check your mah plz help give brainy is

6x + 10 = 2(3x + 4)​

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A town is going to use its property tax records to pick
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These focus groups have been very popular, and everyone
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take part. The town's aim is that everyone who lives in
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What problems, if any, do you see with this sampling
method?
A nonresponse
B. response bias
c. undercoverage
D. there are no problems with this sampling method

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If x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3).

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would the answer be
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GUYS THIS IS DUE SOON I NEED HELP

I have a time limit please hurry!

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The domain of the relation is {
} and the range of the relation is {
}.

Select the true statement

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11.25 pounds of blueberries cost $2.50

2.25 pounds of blueberries cost $0.50

1 pound of blueberries cost $5.00

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