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.

Please help will give brainliest 19-26

Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many liters of juice are in each pitcher? Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many liters of juice are in each pitcher?

plz i will give u 38 to 48 points plzzzzzzzz

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GUYS THIS IS DUE SOON I NEED HELP

Will mark brainliest if correct

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HELP I’m almost out of time ( it’s not Y=2x+4)

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would the answer be
2x+12 ​

I have a time limit please hurry!

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

6x + 10 = 2(3x + 4)​

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

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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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I don’t understand graphs that much , i probably would know this if i was in school but im online

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