What is the directrix of the parabola defined by 1/4(y 3)=(x-2)^2?

Answers

Answer 1

Answer: for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex

(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625

Answer 2

Answer:

Answer:

y=-49/16

Step-by-step explanation:

Related Questions

Struggling so hard on this
Consider the quadratic function f(x) = -x²-x+2.Determine the following: (enter all numerical answers as integers, fractions, or decimals): The x-intercepts are The y-intercept is The vertex is The line of symmetry has the equation Give your answers as points, separated by a comma. Give your answer as a point.
The system of equations 3x – 6y = 20 and 2x – 4y = 3 isA. inconsistent.B. dependent.C. consistent.D. independent.
What percentage is 4 month of a year
Solve the inequality: 3. n - 23 < -2.5

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T.

-8m + 7n - 3
-8m - 7n - 3
8m + 7n - 3
8m - 7n - 3

Answers

If you would like to simplify Q + S - T, you can do this using the following steps:

Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8

Q + S - T = 7m + 3n + n + 5 - (-m - 3n + 8) = 7m + 3n + n + 5 + m + 3n - 8 = 8m + 7n - 3

The correct result would be 8m + 7n - 3.

Solve and Check
-N/5=5

Can someone explain this to me?

Answers

Hi! First, we multiply both sides by 5, -n/5*5=5*5=-n=25. Second, we divide both sides by -1, -n/-1=25/-1. Therefore, our answer is n=-25

Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Answers

we have

$4x^5-12x^4+6x=5x^3-2x$

Separate the equation above in two equations

equation $1$

$y=4x^5-12x^4+6x$

equation $2$

$y=5x^3-2x$

we know that

In a system of equations the roots of the equation $1$ must satisfy equation $2$ and the roots of the equation $2$ must satisfy equation $1$

therefore

the answer is

The system of equations is

$y=4x^5-12x^4+6x$

$y=5x^3-2x$

Simplifying 4x4 = 12x2 Solving 4x4 = 12x2 Solving for variable 'x'. Reorder the terms: -12x2 + 4x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x2 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + x2) = 0

Which equation represents the line whose slope is 2 and whose y-intercept is 6

Answers

The basic format for questions like these are y=mx+b where m stands for the slope and the b stands for the y-intercept, and x and y stand for the coordinates of the equation. So if you fill it in, it would be y=2x+6.

slope of 2 means that the the x part is 2x

So when x is 0 y must equal 6

so the equation is y = 2x + 6

Simplify this 4x^2-3x^2

Answers

Answer:

x^2(4-3)

Step-by-step explanation:

find what they have in common, in this case its x^2, and take it outside the () and put what you have left inside the().

Answer:

$x^(2)$

Step-by-step explanation:

Your equation is 4x^2-3x^2

Add similar elements together,

which gets you x^2

35% of what is 28, thanks for the help

Answers

80, and to check 80*0.35=28

35% of what is 28

To do this, convert 35% to a decimal by dividing it by 100

You get 0.35

Divide28 by 0.35 and you get 80

So. 35% of 80 is 28

Hope this helped!

Other Questions

Which of the following is not a factor involved in the process of evaluating an observational study?Introduction Results Discussion Bias

Choose the equation below that represents the line passing through the point (-3,-1) with a slope of 4.A) y = 4x - 11 B) y = 4x + 11 C) y = 4x + 7 D) y = 4x - 7

Which of the following expressions is a simplified form?

Combine like terms. 7k – 13k A. –6 B. –6k C. –20 D. –20k