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shtirl [24]
3 years ago
6

The point (5, -2) is rotated 90° about the origin. Its image is:

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
Image below, rotation for point (5,-2) gives you (2,5).

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Determine the quadratic function f whose graph is given. The vertex is (1,-3) and y-intercept is -2
Nesterboy [21]

Answer:

Vertex form: f(x)=(x-1)^2-3

Standard form: f(x)=x^2-2x-2

Step-by-step explanation:

A quadratic function in vertex form is f(x)=a(x-h)^2+k where (h,k) is the vertex.

We are given h=1,k=-3.

Let's plug that in:

f(x)=a(x-1)^2-3.

Now let's find a.

We will use the y-intercept (0,-2) to find a.

f(0)=a(0-1)^2-3

-2=a(0-1)^2-3

-2=a(-1)^2-3

-2=a(1)-3

-2=a-3

1=a

So the function in vertex form is:

f(x)=(x-1)^2-3.

In standard form, we will have to multiply and combine any like terms.

Let's do that:

f(x)=(x-1)(x-1)-3

f(x)=x^2-x-x+1-3

f(x)=x^2-2x-2

5 0
3 years ago
I need to know how I got number 27 because I can’t remember what I did
krok68 [10]
B=75, not 27
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Write a real world situation that can be represented by the expression x - 12 subtraction
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Answer:

Step-by-step explanation:

a1 = 6

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a3 = -1.2*a_(n-1)

a3 = -1.2*a_2

a3 = -1.2 * - 7.2

a3 = 8.64

a4 = -1.2 * a_3

a4 = -1.2 * 8.64

a4 = -10.368

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3 years ago
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