Question 2 of 5

50 POINTS!!!!!!!!! PLS PLS HURRY PLS WILL GIVE BRAINLIEST! !!!!!!!

shepuryov [24]

Answer:

soooooooooooooooory ur like this u remind me of a guy in my 4grade

6 0

3 years ago

The length of a rectangle is 3 inches less than its width. The perimiter of the rectangle is 26 inches. Whats the width of the r

maxonik [38]

2(w-3)+2w=26

4w-6=26

4w=20

w=5in

l=2in

6 0

3 years ago

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

7 0

3 years ago

For the equation 8x + 2y = 16 What is the slope? What is the y-intercept (write as an ordered pair)? What is the x-intercept (wr

LiRa [457]

Answer:

y= -4x+16, (4,0), (0, 8)

Step-by-step explanation:

Let us rewrite the equation in slope intercept form, y=mx+b, where m is the slope:

2y= -8x+16

y= -4x+16

Therefore, -4 is the slope.

The x intercept can be found if we substitute 0 into the y:

0= -4x+16

4x=16

x=4

(4,0)

The y intercept can be found if we substitute 0 into the x:

2y= -8*0 +16

2y=0+16

2y=16

y=8

(0,8)

I hope this helps! :)

6 0

3 years ago

Read 2 more answers

you're looking into life insurance. if you don't want to pay premiums all your life but want a policy that is in force your enti

igor_vitrenko [27]

My choice would either be a or b

7 0

4 years ago