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3 years ago

If the parent function f(x) = (2x − 3)3 is transformed to g(x) = (-2x + 3)3, which type of transformation occurs?

Mathematics

1 answer:

zimovet [89]3 years ago

4 0

Answer:

it reflect over y axis.

Step-by-step explanation

Given: If the parent function f(x) = (2x − 3)³ is transformed to g(x) = (-2x + 3)³.

To find: Which type of transformation occurs.

Solution: We have given that

parent function f(x) = (2x − 3)³ .

transformed to g(x) = (-2x + 3)³.

By the transformation rule ; f(x)→→ f(-x) it mean function is reflect over y axis.

We can see from given functions g(x) →→ f(-x).

Therefore, it reflect over y axis.

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Looking for jobs and a better climate, people move out of town at a rate of 3% of its population every year. If the town had 700

Alex787 [66]

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3 years ago

Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$

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3 years ago

Plz help! When an equilateral triangle is constructed, which is completed first?

lesya692 [45]

The construction steps are in the following order:

A, D, B, C.

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6 0

3 years ago

Read 2 more answers

What is the unit rate for You create 18 centerpieces for a party in 6 hours.

Snezhnost [94]

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Step-by-step explanation:

18centterpieces/6hrs =3

8 0

3 years ago

27 + (8-5) -am looking for the answer of number 7

Rasek [7]

Answer:

The answer to the equation from question 7 is 14.

Step-by-step explanation:

In question 7, we are given an equation.

2³ + (8 - 5)² - 3

First, subtract 5 from 8 in the parentheses.

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Next, solve the exponents for 2³ and 3².

8 + 9 - 3

Add 8 to 9.

17 - 3

Subtract 3 from 17.

So, the answer to this equation from question 7 is 14.

4 0

4 years ago