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olga2289 [7]
3 years ago
11

How does a combination of transformations differ from a single transformation? How are they the same?

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
A combination of transformations can create a wider array of figures as compared to a single transformation. However, both rely on the same general transformations such as reflection and scaling.
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Find the vertex, zero(s), and y-intercept of the graph of y = –x2 + 4x + 32.
xxMikexx [17]

Answer:

The correct option is A.

Step-by-step explanation:

The given equation is

y=-x^2+4x+32

Put x=0, in the given equation.

y=-(0)^2+4(0)+32=32

The y-intercept is (0,32).

Put y=0, to find the x-intercept.

0=-x^2+4x+32

0=-x^2+8x-4x+32

0=-x(x-8)-4(x-8)

0=-(x+4)(x-8)

x=-4,8

Therefore the y-intercepts are (-4,0) and (8,0).

The vertex of a parabola f(x)=ax^2+bx+c is

(-\frac{b}{2a},f(-\frac{b}{2a}))

-\frac{b}{2a}=-\frac{4}{2(-1)}=2

Put x=2 in the given function.

y=-(2)^2+4(2)+32

y=-4+8+32

y=36

The vertex is (2,36).

Therefore option A is correct.

5 0
3 years ago
Read 2 more answers
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit? Use 3.14 for pi.
Sholpan [36]
A=pi(r)^2

We have the diameter. To get the radius divide it by 2.

The radius now is equal = 13.
Pi=3.14

Distribute it to the equation... A=3.14(13)^2

The area is equal = 530.66
5 0
3 years ago
What is the missing constant term in the perfect square that starts with x^2-16x? Pretty stumped on this one. Thanks in advance!
Serjik [45]
You'll have to find a number, in which, when factored, the factors would add up to -16

x^2 - 16x + 64  (for example)
x                -8
x                -8

(x - 8) (x - 8). If you use FOIL, you will get the trinomial again.

64 can be your answer

hope this helps
8 0
4 years ago
Read 2 more answers
Help.. please.. I have no idea how to do this..
IrinaK [193]
X = 116 degrees
The sum of the three angles in a triangle add up to 180 degrees
Add up the two known angles
32 + 32 = 64
Subtract that from the total measure
180-64 = 116
Since 116 and x are vertical angles, they are congruent, making x equal to 116
7 0
3 years ago
*20 points* 7x + 24 = 2x - 6 How many solutions?
alekssr [168]

Answer:

<em>x= -6</em>

Step-by-step explanation:

so i'm thinking 1 solution.

<u><em>(let me know if i'm wrong)</em></u>

6 0
3 years ago
Read 2 more answers
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