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Artist 52 [7]
3 years ago
13

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit

down.
ƒ(x) = (x - 8)2 - 1
ƒ(x) = (x - 8)2 + 1
ƒ(x) = (x + 8)2 - 1
ƒ(x) = (x + 8)2 + 1
Mathematics
2 answers:
Wittaler [7]3 years ago
8 0
The vector[-8;-1]

f(x)=(x+8)^2-1


:)
MrRa [10]3 years ago
7 0

Answer:

The correct option is 3.

Step-by-step explanation:

The parent quadratic function shifted is

f(x)=x^2

The translation is defined as

f(x)=(x+a)^2+b                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the quadratic function shifted 8 units left and 1 units down. It means a=8 and b=-1.

Substitute a=8 and b=-1 in equation (1).

f(x)=(x+8)^2+(-1)

f(x)=(x+8)^2-1

Therefore the correct option is 3.

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For any circle, which ratio is equal to the number n? Select all that apply. Plsss help me!!
barxatty [35]

Answer:

Options A-C-F

Step-by-step explanation:

we know that

<em>The circumference of a circle is equal to</em>

C=\pi D  or  C=2\pi r

where

D is the diameter and r is the radius

therefore

\pi =\frac{C}{D}  or \pi =\frac{C}{2r}

The number pi is the ratio circumference - diameter or is the ratio circumference - 2 times radius

<em>The area of the circle is equal to</em>

A=\pi r^{2}

therefore

The number pi is the ratio Area - radius squared

6 0
3 years ago
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
2 years ago
According to the cost principle, land that was originally acquired for $85,000 is offered for sale at $150,000, is assessed for
Anit [1.1K]
Pretty sure thats the answer $137,000
6 0
3 years ago
Read 2 more answers
I would appreciate if someone could answer this :)
Gnom [1K]

Answer:

x = 8

y = 6

Step-by-step explanation:

Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.

Therefore,

LP = PN

x = y + 2 (eqn. 1)

PM = KP

2x - 8 = y + 10 (eqn. 2)

Substitute x = y + 2 into eqn. 2 to find y

Thus:

2(y + 2) = y + 10

2y + 4 = y + 10

Take like terms

2y - y = -4 + 10

y = 6

Substitute y = 6 into eqn. 1 to find x:

x = y + 2 (eqn. 1)

x = 6 + 2

x = 8

7 0
2 years ago
The equation of line 2 is y = 4x - 7. Find line 1 given that line 1 is parallel to line 2 and has y-intercept (0,2).
MakcuM [25]

Answer:

hi! this may all seem confusing but don't worry it's easy once you get it!

so we have a line this line y=4x-7 is what we will use to plugin our point

and (0,2) is your point!

2=4(0)+b

2=b

and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)

y=4x + 2 would be the answer!

REMEMBER: Parallel is always the same so you will use the SAME SLOPE!

Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given

If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!

hope this helps :)

new question:  write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6

so we need to move this from standard form to slope intercept

2x + 3y=6

-3y= -2x + 6

y= 2/3x - 2

now we've solved!  our y intercept is now -2 and slope is 2/3x

okay and now let's plug it in!

again let's plugin our point

5= 2/3 (1) + b

4 1/3= b

so! y= 2/3x - 4 1/3

8 0
3 years ago
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