MATHEMATICS MIDDLE SCHOOL

Find an equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

Answers

Answer 1

Answer:

Answer:

$(x+5)^(2)=-4(y+3)$

Step-by-step explanation:

Given:

Focus point = (-5, -4)

Vertex point = (-5, -3)

We need to find the equation for the parabola.

Solution:

Since the x-coordinates of the vertex and focus are the same,

so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.

The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.

Substitute y = -4 and k = -3.

$-4 = -3+p$

$p=-4+3$

$p=-1$

So the standard form of the parabola is written as.

$(x-h)^(2)=4p(y-k)$

Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.

So the standard form of the parabola is written as.

$(x-(-5))^(2)=4(-1)(y-(-3))$

$(x+5)^(2)=-4(y+3)$

Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

$(x+5)^(2)=-4(y+3)$

Related Questions

The formula for the circumference of a circle is C = 2r. What is one-fourth of the circumference of a circle that measures 12 centimeters around? If necessary, use 3.14 for .
1/6% of 295 help ASAP
a company paid $48 for two cases of printer paper. each case contained 12 packages of paper. next month the company's office manager needs to order 180 packages of the same paper .if the price per package does not change what would be the total cost of next month's order?
What is a number cubed is 48
Which of the following is the solution to 9|x+4|>54 ?

(.2) (.04)

Please show me how you solved it, thanks!

Answers

multiply normally, then move decimal place back 3 spaces,,, so answer is .008

What is 33 in expanded form

Answers

33 expanded form = 30+3

30+3 is 33 in expanded form I am writing more cuz I need 20 characters

What numbers multiply together to get 6 and add together to get 7

Answers

It would be 6 and 1 cause:

6 × 1 = 6

6 + 1 = 7

Hope that helps :D

1 and 6 really hoped i helped

What is a equaled sign

Answers

An equal sign is a symbol in mathematics.

It is to indicate that the given terms are equal.

It is also used to indicate a mathematical equality.

An equal sign looks like ( $=$ ) this.

an equal sign is a symbol that looks like =

What is the ratio of x to y?A. -3/2
B. -2/3
C. 2/3
D. 3/2
(Question attached)

Answers

Ratio of x to y=x/y
1) we have to find out the value of "x" or "y",
--if we find out the value of x, for instead:
2/3=x/(3x+y)
least common multiple: 3(3x+y)
2(3x+y)=3x
6x+2y=3x
6x-3x=-2y
3x=-2y
x=-2y/3

Therefore: ratio of x to y = x/y=(-2y/3) / y=-2/3

Answer: B. -2/3

---if we find out the value of "y",
2(3x+y)=3x
6x+2y=3x
2y=3x-6x
2y=-3x
y=-3x/2

The ratio of x to y = x/y=x / (-3x/2)=-2/3

Answer: B. -2/3

Is 7/20 an equivalent pair to the decimal 0.07?

Answers

no because 7/20 = 0.35 as a decimal
0.07 and 0.35 are not the same

No because 7/20 = .035

Other Questions

Write words to match the expression 3+ (4 times 12)

After six weeks, the tomato plant thatwas given extra plant food and water was 26 centimeters tall. The tomato plant that was not given any extra plant food was only 74.5% as tall. How tall was the tomato plant that was not given extra plant food?

Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y = -1/3x + 4. The x-axis represents the ground, and the y-axis represents one of the poles that will support the slide.Each unit on each axis represents 1 foot. Suppose that a rider coming down this slide has a horizontal change of 6 feet. What is the value of their vertical change? Explain.

I am confused on The fraction part..........