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Lelechka [254]
3 years ago
10

Which quadratic function in vertex form has a vertex at (-2, 6) and passes through the point (-4, 8)?

Mathematics
2 answers:
aniked [119]3 years ago
8 0
D this is because (-2,6) is the vertex and the x-variable in the vertex is always positive and the y-variable stays the same so the answer is D
svet-max [94.6K]3 years ago
5 0

Answer:

y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6

Step-by-step explanation:

Given

Vertex = (-4, 2)

The graph passes through the point (-8, -6)

The function in vertex form is:

y = a(x + 4)² + 2

Substitute the coordinates of (-8, -6) and find the value of a:

-6 = a(-8 + 4)² + 2

-8 = 16a

a = -1/2

The function is:

y = -1/2(x + 4)² + 2

or in standard form:

y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6

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How to solve the equation
denpristay [2]
We can use substitution to solve this equation in here y=6 and x=0 .
Hope this help you !

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3 years ago
Solve for the missing angle ∡&amp;. One point for your equation and one point for the correct angle measure.
love history [14]
Hello.

1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI

sin^-1(7/25) = 16.26020471°
(round as needed)

Angle &: (also in degree mode)

All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)

To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle

From the picture you provided,

The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!

Good luck to you!



8 0
3 years ago
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