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stiv31 [10]
2 years ago
7

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 1/6x2 - 9?

Mathematics
1 answer:
kaheart [24]2 years ago
3 0

Using shifting concepts, it is found that the correct option is:

B. The graph of f(x) is vertically compressed by a factor of 6 and shifted 9 units down.

---------------------------

  • The parent function is f(x) = x^2.
  • The first transformation is a multiplication by 1/6. Multiplying by 1/a is the same as vertically compressing by a factor of a, thus, it was vertically compressed by a factor of 6.
  • Then, 9 was subtracted. When a is subtracted from the function, it means that it was shifted down a units, thus, it was shifted down 9 units, and the correct option is B.

A similar problem is given at brainly.com/question/24465194

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You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc
faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0
3 years ago
A grandmother, a mom, and 2 daughters went to the fair. they only bought 3 entry tickets and they all got in! how is this possib
fgiga [73]
The grandmother didn't have to pay
4 0
3 years ago
Read 2 more answers
11. Which matrix represents the system of equations below?
dimulka [17.4K]

Answer:

\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

Step-by-step explanation:

The system of equations is;

-12x-13y +13z =15

7x-10y-3z = 11

7x+14y +5z = -5

The coefficient matrix is \left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]

The constant matrix is \left[\begin{array}{c}15\\11\\-5\end{array}\right]

The augmented matrix is \left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

4 0
3 years ago
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full.
Alex Ar [27]
3/4 = 3/4*1

3/4 = 3/4 * 3/3 = 9/12

Box is 9/12 full after heba ate 1/12 of a box of cereal

Initial fraction will be 9/12+1/12

=10/12= 5/6
5 0
3 years ago
Write an equation of the parabola that has the same shape as the graph of ​f(x)​, but with the point ​(​,​) as the vertex.
erik [133]

Answer:

y=3(x-9)^2+4

Step-by-step explanation:

To move a parabola horizontally to the right, subtract 9.

To move it upward 4 units, you simply have to add 4.

These do not change the characteristics of the shape. I suggest looking at a set of rules that affect how the parabola moves horizontally and vertically.

5 0
3 years ago
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