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notsponge [240]
2 years ago
10

What is the vertex of the graph of the function below?

Mathematics
1 answer:
balandron [24]2 years ago
7 0
I think it is A
Aaaaaaaaaaaaaaaaa
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Enter the correct answer in the box.
Mekhanik [1.2K]

The equation in the vertex form of g(x) is:

g(x) = (x + 1)^2 - 38

<h3>How to get the equation of function g?</h3>

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

f(x) = x^2 - 4x - 32

The vertex is at:

x = -(-4)/2*1 = 2

The y-value of the vertex is:

f(2) = 2^2 - 4*2 - 32 = -36

Then the vertex form of f(x) is:

f(x) = (x - 2)^2 - 36

If we move this vertex 2 units below, and 3 units to the left, then we have:

g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
2 years ago
Now You Try!
tresset_1 [31]

Answer:

Step-by-step explanation:

18

6 0
3 years ago
Please help the question is on the picture
ratelena [41]

Step-by-step explanation:

Sorry to say, but there is no picture...

8 0
3 years ago
PLEASE HELP ALMOST FINISHING ALBERA 1 PUT I NEED YOUR HELP PLEASE I BEG YOU BRAINLEST ANSWER!!!
tester [92]
59  is D 
because  with the point (-3,7) you substitute it into the equation, making it: 7=4x+b.  solve for b.  then you have y=4x+19.     work out the algebra in the possible choices and whatever equals y=4x+19 will be the answer. in this case, its D.


60 is C
same as above, you do the algebra of the equation. bring the one over after doing distribution with the 4 and voila!


61 is A
a relatively easy one, all you do is the the slope -4 where m goes, and 3 where b goes. y= -4x+3


62 is C.
this one requires more work.
chose one of the points, in this case (2,7) and put them into the equation. 
but wait, you need a slope! 
you get that use the formula (y2-y1)/(x2-x1) which will be
(7-5)/(2-3) which will be
-2.
now you have y-7= -2(x-2)
voila!



63 is  C.   y= 1/2x+3

64 is B. (3, -5)

66 is B. negative. the line  goes \ ( not / which is positive)

67 would be A. because it is positive and the I and the E are in the right places.


70 is C.  2/3.   as before, remember we can but the points into this equation and have (6-4)/(3-0) which = 2/3


71  is D.  y= 3x+10

72 is C. a third degree monomial

73 can't read


74 can't read 
 
75 can't read.

 
4 0
3 years ago
I need help, please. ​
telo118 [61]

Answer:

a

Step-by-step explanation:

11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement

8 0
3 years ago
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