The vertex of this parabola is at (4, -3). Which of the following could be its equation?

Mathematics

2 answers:

mojhsa [17]3 years ago

7 0

Answer:

B) x=-3(y+3)^2+4

Step-by-step explanation:

Plug quadratic in for proof

Usimov [2.4K]3 years ago

6 0

Answer:

The answer to your question is Letter C

Step-by-step explanation:

Data

Vertex (4, -3)

Process

From the image, we notice that it is a horizontal parabola that opens to the left.

So, it formula must be (y - k)² = 4p(x - h)

-Substitute the vertex

(y + 3)² = 4p(x - 4)

Consider 4p = 1

(y + 3)² = x - 4

Solve for x

x = (y + 3)² + 4

Solution

Letter C

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HELP!

Tju [1.3M]

Answer:

(b) 7.28 cis(105.945°)

Step-by-step explanation:

The trig form of a vector is always ...

magnitude(cos(angle)·i +sin(angle)·j)

Sometimes, that is abbreviated ...

magnitude cis(angle) or magnitude∠angle

where the "angle" is measured counterclockwise from the +x axis.

The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)

u = 7.28(cos 105.945°i + sin 105.945°j)