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Greeley [361]
3 years ago
7

The graph of the cube root parent function y =∛ x is translated to form f(x) shown on the graph.

Mathematics
2 answers:
3241004551 [841]3 years ago
5 0
1. draw the graph of the parent function y= \sqrt[3]{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

so f(x)= \sqrt[3]{x+6}+1

Answer: A

Remark, for horizontal shift, we use the opposite sign, for vertical shift, the same sign

Vlad1618 [11]3 years ago
5 0

Answer:

A. f(x)=∛x+6+1

Step-by-step explanation:

Just did it on edge!!

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(-2,-1)

Step-by-step explanation:

On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!

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3 0
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Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3
AveGali [126]

Answer:

The equation in the slope-intercept form is y =  \frac{13}{3}x + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

  from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

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∴ y = -6 - (-\frac{13}{3}x)

→ Remember (-)(-) = (+)

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→ Switch the two terms of the right side

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