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Ratling [72]
2 years ago
8

Question 4

Mathematics
1 answer:
kupik [55]2 years ago
3 0

Answer:

come to my country i will answer

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Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?
KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0
3 years ago
Read 2 more answers
And angle measures 54° more than the measure of its complementary angle what is the measure of each angle
Mashutka [201]
Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees
4 0
3 years ago
Is 2.5 rational, integer, whole,natural, irrational
Lyrx [107]

Out of that particular list, the only description
that applies to 2.5 is "rational".

3 0
3 years ago
If Serena painted all the faces of the piece of the model, including the base, what area did she paint?
Mariana [72]

Answer:

is there any measurements included?

Step-by-step explanation:

6 0
3 years ago
If a box of clothes weighing 10 lbs (4.5 kg) and a box of books weighing 10 lbs (4.5 kg) were placed on a scale, what is most li
sveta [45]
The scale will read 8 kgs
7 0
3 years ago
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