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olga2289 [7]
3 years ago
9

P ( x ) = | x | and the image I ( x ) = 1 2 ⋅ P ( x ) graph

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

The picture where the red image is the skinniest

Step-by-step explanation:

The graph P(x) denotes the graph of the parent graph for all the functions. And, It includes the vertex of (0,0) and points which are shown below:

x      f(x)

-2      2

-1       1

0       0

1         1

2       2

Now as we can see in the attached figure i.e it changed the function points i.e given below for l(x) = 12P(x)

x      f(x)

-2      24

-1        12  

0        0

1        12

2       24

This depicts that it has a skinner graph that includes redish graph

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Add 7 to the other side

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The Marriott family bought a new apartment three years ago for $65,000. The apartment is now worth $86,515. Assuming a steady ra
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3 years ago
Need 2 more. 50 points!<br><br> Please show work, Thanks! :)
rjkz [21]

Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

y=a(x-h)^2+k

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

y=a(x-(-8))^2+(-7)

Simplify:

y=a(x+8)^2-7

Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

(-4)=a((-7)+8)^2-7

Solve for a. Add within the parentheses:

-4=a(1)^2-7

Square:

-4=a-7

Add 7 to both sides. Therefore, the value of a is:

a=3

So, our entire equation in vertex form is:

y=3(x+8)^2-7

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

y=a(x-(-2))^2+2

Simplify:

y=a(x+2)^2+2

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

5=a((-1)+2)^2+2

Solve for a. Add within the parentheses.

5=a(1)^2+2

Square:

5=a+2

Subtract 2 from both sides. So, the value of a is:

a=3

Therefore, our entire equation is:

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

Our answer is C.

And we're done!

3 0
3 years ago
Thirty
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Answer:

107% if you want to be sure check

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