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REY [17]
3 years ago
15

If g(x) =4x^2-16 were shifted 9 units to the right and 1 down, what would be the new equation

Mathematics
2 answers:
vesna_86 [32]3 years ago
5 0

h(x)=4(x-9)^2-16-1\\\\h(x)=4(x^2-18x+81)-17\\\\h(x)=4x^2-72x+324-17\\\\h(x)=4x^2-72x+307

Marrrta [24]3 years ago
4 0

Answer: g(x)=4x^{2} -72x+307

Step-by-step explanation: to shift a function to the right, we need to subtract as many units as we want to shift from the x (internal function), so if we want to shift the function 9 units to the right, we subtract 9 from the x. To shift a funtion down we need to subtract as many units as we want from the whole function (external function), so in order to shift the function 1 unit down, we subtract 1 from the function:

g(x)=4x^{2}-16

shifting to the right:

g(x)=4(x-9)^{2}-16

shifting down:

g(x)=4(x-9)^{2}-16-1

solving the square and the products:

g(x)=4x^{2} -72x+324-16-1

g(x)=4x^{2} -72x+307

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Contact [7]

Answer:

3. \displaystyle 4,12

2. \displaystyle \: \: \: \: \: - \\ 0,46

1. \displaystyle 0,875

Step-by-step explanation:

3. Every 25 is worth 4, and since 3 by 4 is 12, 3⁄25 gets set to ",12", then attach the <em>whole number</em> [4] to it, giving you 4,12.

2. Every 15 is worth 6⅔, and since 7 by 6⅔ is 46⅔, moving the decimal mark twice to the <em>left</em> will give you the above answer, in <em>bar</em><em> </em><em>notation</em>, since it is a repeated decimal.

1. Every 8 is worth 12½, and since 7 by 12½ is 87½ [87,5], moving the decimal mark twice to the <em>left</em><em> </em>will give you 0,875.

I am joyous to assist you anytime.

5 0
3 years ago
X - 7 = -1, what does 'x' equal?
antiseptic1488 [7]

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

5 0
3 years ago
(06.02 mc) the equation of line cd is y=3x-3. Write an equation of a line perpendicular to line cd in slope intercept form that
Fynjy0 [20]

Answer:

y = - \frac{1}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, hence

y = - \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - \frac{1}{3} x + 2 ← equation of perpendicular line

6 0
3 years ago
Read 2 more answers
Find the horizontal asymptote for each function<br> and tell the reason for your answer.
madreJ [45]

Answer:

Thanks for the free points dear

6 0
3 years ago
Find the Volume. A rectangular pyramid of height 8 in. measuring 6 in. and 12 in. along the base.
steposvetlana [31]
576 is answer I believe Good Luck
4 0
2 years ago
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