7. Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8). What is the equation

Mathematics

1 answer:

WINSTONCH [101]2 years ago

6 0

9514 1404 393

Answer:

(a) y=(x+4)^2 +7

Step-by-step explanation:

The vertex form equation is ...

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

for vertex (h, k) and vertical scale factor 'a'.

The vertex is given as (h, k) = (-4, 7), so the equation will be ...

y = a(x +4)^2 +7

The value of 'a' can be found from the other given point:

8 = a(-3+4)^2 +7

1 = a

So, the equation is ...

y = (x +4)^2 +7

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iren2701 [21]

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

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So, $x_1=2, y_1=6, x_2=-3, y_2=-6$

Putting values in formula and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13$