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2 years ago

The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.

Mathematics

1 answer:

finlep [7]2 years ago

7 0

9514 1404 393

Answer:

y = -1/12x² +2

Step-by-step explanation:

For vertex (h, k) and vertex-to-focus distance p, the vertex form equation is ...

$y=\dfrac{1}{4p}(x-h)^2+k$

Here, the vertex-to-focus distance is -1-2 = -3 units. The vertex is (h, k) = (0, 2). So, the equation of the parabola is ...

$\boxed{y=-\dfrac{1}{12}x^2+2}$

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Describe in words a sequence of transformations that maps ABC to A'B'C'

sleet_krkn [62]

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

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2 years ago

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

geniusboy [140]

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

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2 years ago

Complete the equation of the line whose slope is -2−2 and yy-intercept is (0,3)(0,3)

jeka57 [31]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have the slope m = -2 and y-intercept (0, 3) → b = 3. Substitute:

7 0

2 years ago

Evaluate: [(- 16) + 4] ÷ [(-2) + 5]

Tresset [83]

Answer:

We need to evaluate this: [(-16)+4] / [(-2)+5]

First, we do the brackets:

[(-16)+4]
[(-2)+5]

[(-16)+4] = -16 + 4 = -12

[(-2) + 5] = -2 + 5 = 3

Now, we only need to divide, as we have calculated both brackets:

-12/3 = -4

(Remember that when dividing a negative number by a positive one, we always obtain a negative)

So the result is -4

7 0

2 years ago

Read 2 more answers

( ) quinta-feira

Rasek [7]

Answer:

In english this means:

( ) Thursday

( ) cauliflower

( ) gentleman

( ) Highland

( ) hobby

( ) hydroelectric

( ) sunflower

Step-by-step explanation:

So what do you need us to do?

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2 years ago

The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.​

The graph shows a parabola and its focus. Write the equation of the parabola in vertex form.