All categories

3 years ago

What effect will multiplying by 3 have on f(x)?

1 answer:

7 0

Answer:For a positive value k, the graph of y=kf(x) is obtained from the graph of y=f(x) by scaling in the vertical direction. In coordinates, if (x0,y0) is on the graph of y=f(x), then that point moves to (x0,ky0) on the graph of y=kf(x). Any point on the x-axis remains fixed (as then y=0). When k>1, the graph is stretched vertically (away from the x-axis), while if 0<k<1, the graph is compressed vertically (toward the x-axis).

Another way to think about this: The graph of y=kf(x) is exactly the same as the graph of y=f(x) if the y-axis is scaled so that 1 is relabeled k, 2↦2k, −1↦−k, etc.

Step-by-step explanation:

You might be interested in

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

3 years ago

Phone chargers in a store are priced $19, $18, $15, $17, $19, $12, $19, and $15.

fredd [130]

The display that would best show the measures of variation of the given prices is; B: Box and Whisker Plot

<h3>What is the importance of Box and Whisker Plot?</h3>

We are given the prices of Phone chargers in a store as;

$19, $18, $15, $17, $19, $12, $19, and $15.

Now, since we want to determine the display that would best show the measures of variation, the best display would be a box and whisker plot. This is because Box and Whisker plots are a great chart to use when showing the distribution of data points across a selected measure. These box and whisker plots display ranges within variables measured.

Read more about Box and Whisker Plot at; brainly.com/question/26613454

#SPJ1

8 0

2 years ago

The area of a circular place is 45 square inches. Estimate the radius to the nearest integer.

aksik [14]

A=pi(r)^2
45=pi(r)^2 divide by pi (3.14)
14.33=r^2 square root both sides
3.79=r round
r=4

5 0

3 years ago

What is the value of x ?!

puteri [66]

Answer:

Step-by-step explanation:

2x - 1 = 7

2x = 8

x = 4

3 0

3 years ago

Is brainly lacking features?

AlekseyPX

brainly should let more people answer the question's

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers