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shusha [124]
3 years ago
15

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive <em>a</em>s give other possible answers; without the choices it's impossible to know which one they're seeking.

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timurjin [86]

Answer:

The answer is 40 miles!

Step-by-step explanation:

1 inch= 10 miles

2 inches= 20 miles

3 inches= 30 miles

4 inches= 40 miles

Just count by tens

3 0
3 years ago
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
garik1379 [7]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
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Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y? 7y = 6 5y = 17 12y = 17 2y = 1
LekaFEV [45]
7y +8= 9+3y+2y

Combine like terms.

7y+8= 9+5y

Subtract 5y on both sides.

2y+8=9

Subtract 8 on both sides.

2y=1

Your answer is 2y=1

I hope this helps!
~kaikers
4 0
3 years ago
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Find the coordinates of midpoint F.
Mice21 [21]

Answer:

The coordinates are (0,b)

Step-by-step explanation:

Here, we want to find the coordinates of the midpoint F

as we can see, F is between A and B

we proceed to use the midpoint formula

The midpoint formula is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

(x1,y1) = (-3a, b)

(x2,y2) = (3a, b)

The substitution of these values will thus yield;

(-3a + 3a)/2, (b + b)/2

= (0/2), (2b/2)

= (0, b)

4 0
2 years ago
21x+28=14 and 9x+12y=6
Westkost [7]
<span>21x+28=14
x= -2/3 or -0.666666666

</span><span>9x+12y=6
x=2/3 or .666666666
y=0</span>
7 0
3 years ago
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