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3 years ago

NEED ANSWER ASAP. WILL MARK THE BRAINLIEST

Mathematics

2 answers:

rjkz [21]3 years ago

8 0

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Vikentia [17]3 years ago

5 0

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

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2 years ago

If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Naddik [55]

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

7 0

3 years ago

HELP 10PTS AND BRAINLIESTThe image of a triangle after it has been dilated with a center of dilation at the origin has vertices

Gala2k [10]

Answer:

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2) *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by

(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hope this helps,

Cate

8 0

3 years ago

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