The cubic function is f(x) = x^3

You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.

Those transfformations are:

1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3

2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3

3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5

8 0

4 years ago

Find the circumference of a circle with a radius of

Debora [2.8K]

Answer:

What is the radius???

5 0

3 years ago

Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)

Lyrx [107]

Answer:

The equation of the line is,

$y = - \frac{2}{5} x - 1$

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

$2x + 5y = 15$

$5y = 15 - 2x$

$y = 3 - \frac{2}{5} x$

$y = - \frac{2}{3} x + 5$

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

$y = - \frac{ 2}{5}x + b$

$let \: x = - 10,y = 3$

$3 = - \frac{2}{5} ( - 10) + b$

$3 = 4 + b$

$3 - 4 = b$

$b = - 1$

3 0

4 years ago

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