What is the y-intercept of function f? A. 1 B. -1 C. -2 D. 5

The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the

ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

> y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0

2 years ago

A map of a park says its scale is 1 to 100. What does that mean?

Alex777 [14]

A scale is a term that refers to the representative fraction for comparing the original length and image length of a given object. It means implies that every 1 unit on the drawing is equal to 100 units on the park.

A scale is a term that can be referred to as the representative fraction that compares the original length and image length of a given object. Types of scale include enlarged scale, reduced scale, and real scale.

Enlarged scale is a scale that is used when the size of a given object is to be increased.
Reduced scale is used when the size of a given object is to be decreased.
Real scale implies the exact size of a given object.

Scale can be expressed as;

Scale = $\frac{length on drawing}{original length}$

Thus a scale has no unit.

Therefore, the given question implies that every 1 unit on the drawing is equal to 100 units on the original park. Thus it is a reduced scale.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

#SPJ1

6 0

1 year ago

A worker submits the following data on a timesheet: Week 1 — Total hours: 42 (including 4 hrs sick leave, 6 hrs travel) Week 2 —

Assoli18 [71]

Answer:

12.5%

Step-by-step explanation:

In order to find the percentage the worker spent traveling, we can make us of the following ratio:

$\frac{number}{ammount}=\frac{percent}{100}$

where number is how many hours he spent traveling, ammount is the total ammount of hours he reported and percent is the percentage we want to find. So we can solve the ratio for the percent, so we get:

$percent=\frac{number}{ammount}*100%$

now, we need to find the total amount of hours he spent traveling, this is gotten by adding the provided data:

6hrs+5hrs=11hrs

next we need to find the total amount of hours reported:

42hrs+46hrs=88hrs

so now we can substitute the data the problem provided us with:

$percent=\frac{11}{88}*100%$

which yields:

percent=12.5%

6 0

3 years ago

Simplify the following rational expression

madreJ [45]

Step-by-step explanation:

as the denominator (x+3) is in both you need only one denominator to be multiplied in first rational number .

2x (x-2). + 5.

(x+3) (x-2). (x+3) (x-2)

2x^2-4x +5

(x+3) (x-2)

it's cannot be solved after that.

8 0

3 years ago

Read 2 more answers

HOW MUCH LONGER IS A 6 3/16-IN. METAL PIPE THAN A 4 5/8-IN. PVC PIPE

Aloiza [94]

Answer:

1 9/16 in (or 25/16in)

Step-by-step explanation:

4 5/8 = 4 10/16

6 3/16- 4 10/16 = 1 9/16

Material of pipes is irrelevant

8 0

3 years ago