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nexus9112 [7]
3 years ago
11

The graphs below have the same shape. What is the equation of the blue

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

Option C. g(x)=(x+3)^2+1

Step-by-step explanation:

The complete question in the attached figure

we know that

The equation of the function f(x) is

f(x)=x^2

Is a parabola open upward

The vertex is the point (0,0)

The function g(x) have the same shape

The vertex of the function g(x) is the point (-3,1)

so

The rule of the transformation of f(x) to g(x) is

(0,0) -----> (-3,1)

(x,y) -----> (x-3,y+1)

That means----> The translation is 3 units at left and 1 unit up

therefore

The equation of the function g(x) in vertex form is equal to

g(x)=(x+3)^2+1

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9x - y = 15 2x + 8y = 28
faust18 [17]
9x - y = 15
2x + 8y = 28

Use the substitution method.
Solve for y in the first equation.

9x - y = 15
-y = 15 - 9x
y = -15 + 9x

Now plug in y into the second equation.
2x + 8(-15 + 9x) = 28
2x - 120 + 72x = 28
74x - 120 = 28
74x = 148
x = 2

Plug x back into the rewritten first equation.
y = -15 + 9(2)
y = -15 + 18
y = 3

x = 2, y = 3
5 0
3 years ago
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

7 0
2 years ago
PLEASE HELP ME FAST!!!!!!
ra1l [238]

EDITED: Answer: Phillip can order 12 different ways of ice cream.

Step-by-step explanation:

Ahem.

He can only have Vanilla or Chocolate. So let's pet them in a separate Row.

<u>Vanilla </u>

  1. With Sprinkles
  2. With Almonds
  3. With Hot Fudge
  4. With Sprinkles and Almonds
  5. With Sprinkles and Hot Fudge
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<u>Chocolate</u>

1.With Sprinkles

2.With Almonds

3.With Hot Fudge

4.With Sprinkles and Almonds

5.With Sprinkles and Hot Fudge

6.With Almonds and Hot Fudge

4 0
2 years ago
14. One quart is equivalent to 0.95 liter.
kolezko [41]
Just answering for a task
6 0
3 years ago
Which of the following sets of ordered pairs represents a function
Feliz [49]

Answer: A

Step-by-step explanation:

Each value of x maps onto only one value of y.

8 0
2 years ago
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