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pickupchik [31]

4 years ago

11

Amanda makes a dive from a springboard at a swimming pool.The board is 3 1/2 feet above the surface of the water. The total leng

th of
her dive is 8 3/4 feet. How far below the surface of the water is amanda at the end of the dive.

2 answers:

natta225 [31]4 years ago

7 0

5 1/4 feet (the answer)

kari74 [83]4 years ago

3 0

That would be 8 3/4 - 3 1/2 = 8 3/4 - 3 2/4 = 5 1/4 feet Answer

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3 years ago

What is the function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, a

MariettaO [177]

<u>Given</u>:

The parent function is $f(x)=x^2$

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

<u>Shift left 9 units:</u>

The rule to shift the graph c units to the left is given by

$y=f(x+c)$

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

$f(x)=(x+9)^2$

<u>Vertical stretch by a factor of 4:</u>

The rule to stretch the graph vertically by a factor of c is given by

$y=cf(x)$

where $c>1$

Hence, to stretch the graph vertically by a factor of 4, we have;

$f(x)=4(x+9)^2$

<u>Shifting 5 units up:</u>

The rule to shift the graph c units upward is given by

$y=f(x)+c$

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

$f(x)=4(x+9)^2+5$

Therefore, the function $g(x)=4(x+9)^2+5$ is created from the graph $f(x)=x^2$ by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is $g(x)=4(x+9)^2+5$

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3 years ago

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aleksklad [387]

Answer:

A

Step-by-step explanation:

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3 years ago