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notka56 [123]
3 years ago
14

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated

function?

Mathematics
2 answers:
blondinia [14]3 years ago
8 0

Answer: Option B

Step-by-step explanation:

Nookie1986 [14]3 years ago
3 0

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3

2 units right and 3 units down.

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5 0
3 years ago
Use the distance formula to determine the distance between (-8,10) and (-6,7)
hjlf

Answer:

Distance: \sqrt{13} units

Step-by-step explanation:

The distance formula is d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where:

  • d is the distance between points (x_1,y_1) and (x_2,y_2)
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  • (x_2,y_2) are the coordinates of the second point

We are given that:

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  • (x_2,y_2)=(-6,7)

To determine the value of our distance, d, we plug in our given information into the formula and solve for

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\sqrt{(-6-(-8))^2+(7-10)^2}

d=\sqrt{(-6+8)^2+(-3)^2}

d=\sqrt{(2)^2+(-3)^2}

d=\sqrt{4+9}

d=\sqrt{13}

Therefore, the distance between (-8,10) and (-6,7) is \sqrt{13} units.

See the attached graph for a visual.

5 0
3 years ago
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