The graph of the cube root parent function y =3^sqrt xtranslated to form f(x) shown on the graph.

Answers

Answer 1

Answer:

The translated function is f(x)=∛(x+6)+1. Therefore, option A is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given function is y=∛x.

Draw the graph of the parent function y=∛x, as shown in the attached figure.

A few important point will be enough: (0, 0), (1, 1), (-1, -1), (8, 2), (-8, -2)

2. (0, 0) is an important point of the parent function, because as we go from the left to the right, the graph is concave up, than at (0, 0) it switches to concave down.

This point is called an inflection point, and in this function there is clearly only one.

3. The inflection point (0, 0) of the parent function has been translated to (-6, 1), so all points have been shifted 6 units left and one unit up.

Therefore, option A is the correct answer.

To learn more about the translation visit:

brainly.com/question/17485121.

#SPJ5

Answer 2

Answer:

Answer:

f(x) = $\sqrt[3]{x + 6}$ + 1

Step-by-step explanation:

Whenever addition or subtraction occurs within the cube root, it moves horizontally; the opposite is done for the translation, thus if it is addition, which in this case it is, instead of moving the positive direction, the function moves the negative direction.

As opposed to addition or subtraction outside of the cube root, it moves vertically, and in this case, it is translated exactly as stated. Here it states addition, thus the graph moves up in one unit.

The origin of the parent function is at ( 0, 0), in contrast, the origin of the function is at ( -6, 1 )

By using what we know, we can determine that the answer will be f(x) = $\sqrt[3]{x + 6}$ + 1 since we know that the inside of the cube root should be the opposite of the x value and the outside of the cube root should be the same.

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Whats is 0.000000698 in scientific notation

Answers

0,000000698 = 6,98 * $10^(-7)$

A study found that a student's GPA, g, is related to the number of hours worked each week, h, by the equation g=-0.0007h^2+0.015h+3.03. Estimate the number of hours worked each week for a student with a GPA of 2.15.

Answers

Answer:

A student with GPA of 2.15 worked 47.8 hours per week.

Step-by-step explanation:

To find the numbers of hours worked when the GPA is 2.15, we solve the equation when $g=2.15$ or:

$2.15= -0.0007h^2+0.015h+3.03$

which can be rewritten as (by subtracting 2.15 from both sides)

$-0.0007h^2+0.015h+0.88=0$ .

We solve this using the quadratic equation which says, for $ax^2+bx+c=0$ ,

$x=(-b\pm√(b^2-4ac) )/(2a)$

in our case

$a=-0.0007$

$b=0.015$ ,

therefore, we have

$x=(-0.015\pm√(0.015^2-4(-0.0007)(0.88)) )/(2((-0.0007) )$

$x=(-0.015\pm0.051856 )/(-0.0014 )$

$\boxed{x=47.8}\n\n \boxed{x =-26.3}$

and since only the positive solution applies to the real word, we choose $x=47.8$ , and therefore, a student with GPA of 2.15 worked 47.8 hours per week.

There were 7 1/2 tubs of icecrem. A serving of icecrem is 1/6 of tub. How many servings of icecrem remains? Help

Answers

Let's see, get a improper fraction okay? 7*1/2 is? 15/2 then do

15 6 90
--- X --- = ---- = 45
2 1 2
Well you know that when you divide you switch the second row to a flip then get the numerator as the denominator.So yeah instead of a divide sign you multiply so yeah.

Consider parallelogram ABCD with side CB extended through point E

Answers

Answer:

m<CAB = 50

Step-by-step explanation:

m<ABE = 120

Angles ABE and BAD are alternate interior angles of parallel lines, so they are congruent.

m<BAD = 120

m<CAB + CAD = m<BAD

m<CAB + 70 = 120

m<CAB = 50

What does power mean in math

Answers

How many times a number is multiplied by its self

A power is the product of multiplying a number itself. Usually, a power is represented with a base number and an exponent

There are 40 marbles in a bag. 18 are red, 12 are white, and 10 are blue. What is the probability of picking a red marble?

Answers

Answer:

40%

Step-by-step explanation:

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