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3 years ago

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 - 3?

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

reflections across the x axis and a shift down 3 units

Step-by-step explanation:

y = x^2

The negative sign means it is a reflection across the x axis y = −f(x)

y = -x^2

The subtraction of 3 means we are shifting down 3 units

y = -x^2 -3

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How do you get the equation of the line in fully simplified slope-intercept form?

Igoryamba

Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

m=(y2 - y1 )/(x2 - x1)

If you were using the points, (-10,0) and (0, -4) the equation would be:

m=(-4-0) / (0+10)

So, m= -2/5

The equation of the line would end up being:

y= -2/5 x -4

4 0

3 years ago

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

$HW^2=128$

solving for H

$H=\frac{128}{W^2}$

<em />

<em>Using ecuation 2</em>

H-4=W

$\frac{128}{W^2}-4=W\\W^3+4W^2-128=0$

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

7 0

3 years ago

Voltage = 18v. Current = 36 amps resistance =?

kupik [55]

Voltage= Current * Resistance
Plug in your values and solve for 'x' or resistance

8 0

3 years ago

Help!!

yKpoI14uk [10]

Answer:

well....

Step-by-step explanation:

trow the apple

7 0

3 years ago

HEY YA'LL QUESTION OF THE DAY!) To stay properly hydrated, a person should drink 32 fluid ounces of water for ever 60 minutes of

dem82 [27]

$135/60=2.25\\2.25*30=\boxed{67.5}$

67.5 fluid ounces

4 0

3 years ago