All categories

3 years ago

How would you graph f(x) = 7x + 5 when you reflect it over y axis and translate it 3 units left

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Answer:

See explanation

Step-by-step explanation:

Given the function $f(x)=7x+5$

1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be

$g(x)=-7x+5$

2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be

$h(x)=-7(x+3)+5\\ \\h(x)=-7x-21+5\\ \\h(x)=-7x-16$

See attached diagram for details.

You might be interested in

Select the basic integration formula you can use to find the indefinite integral.

kondaur [170]

Answer:

$\int \dfrac{du}{u}=\log|u|+C$

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$

Step-by-step explanation:

$\int \dfrac{du}{u}=\log|u|+C$ $[\because \int \dfrac{dx}{x}=\log |x|+C]$

$\int u^n du=\dfrac{u^{n+1}}{n+1}+C$ $[\because \int x^n dx=\dfrac{x^{n+1}}{n+1}+C]$

$\int \dfrac{du}{u\sqrt{u^2-a^2}}=\dfrac{1}{a}\csc^{-1}(\dfrac{x}{a})+C$ $[\because \dfrac{adx}{x\sqrt{x^2-a^2}}=\csc^{-1}(\dfrac{x}{a})+C]$

3 0

3 years ago

Two elves can make 5 toys in 10 minutes How many toys can four elves make in 30 minutes?

4vir4ik [10]

30 toys in 30. Minutes. Math: 2x2= 4. 4x5=20+10

6 0

3 years ago

Read 2 more answers

An 18-foot ladder touches a building 14 feet up the wall. What is the angle measure, to the nearest degree, of the ladder to the

kondor19780726 [428]

Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.

5 0

3 years ago

Solve: 3 = -2v - V V=

Y_Kistochka [10]

Answer:

V = −1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3=−2v−v

3=−2v+−v

3=(−2v+−v)(Combine Like Terms)

3=−3v

Step 2: Flip the equation.

−3v=3

Step 3: Divide both sides by -3.

−3v = 3

-3 -3

v=−1

4 0

3 years ago

Read 2 more answers

Whats 14.635 rounded to the nearest cent?

Nutka1998 [239]

The cents are .635 and the greatest cent is 6. So, when it is rounded to the greatest value like estimating it will be 14.600 or 14.6. As easy as that. :)

7 0

3 years ago