All categories

2 years ago

The quadratic has a vertex of (10,-9) and y-intercept of (0,-4). Write an equation in vertex form. PLZ EXPLAIN!!!!

1 answer:

3 0

Hello there!

Knowing that the vertex form of the quadratic equation is
y=a(x-h)^2+k where (h,k) represents the vertex, and the a value represents the leading coefficient of the quadratic equation in standard form, first plug in your known values (your given coordinate point can be plugged into the x and y values, and your given vertex can be plugged into h and k):
-4=a(0-10)^2-9

Because your a value is still unknown, you can use your given values in the equation to solve for a:
-4=a(-10)^2-9
-4=100a-9
100a=5
a=1/20

Now that you have your a value, you can plug it into your vertex form as well as your vertex values to get that your equation in vertex form is:
y=1/20(x-10)^2-9

You might be interested in

2025bellikar avatar

Novosadov [1.4K]

Answer:

sweet

Step-by-step explanation:

This took 80 minutes

3 0

2 years ago

A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?

Igoryamba

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

6 0

2 years ago

Graph y-4

amm1812

Use the slope-intercept form
y
=
m
x
+
b
y
=
m
x
+
b
to find the slope
m
m
and y-intercept
b
b
.
Not Linear

8 0

2 years ago

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

LenaWriter [7]

Answer:

Area of the circle = $\frac{529}{4}$ π m² or 132.25 π m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π = 2πr/2π

23/2 = r

radius = $\frac{23}{2}$ m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle and r is the radius of the circle

A = π ( $\frac{23}{2}$ )²

A = $\frac{529}{4}$ π m² or 132.25 π m²

Area of the circle = $\frac{529}{4}$ π m² or 132.25 π m²

6 0

2 years ago

Which line has the greatest rate of change? A line passing through (-1, 4) and (1, 7). A line passing through (1, 3) and (5, 11)

Juliette [100K]

Answer:

A line passing through (1, 3) and (5, 11)

Rate of change = 2

Step-by-step explanation:

Rate of change = change in y / change in x
r = Δy/Δx

Let's get the rate of change for each line:

A line passing through (-1, 4) and (1, 7).

r = (7 - 4) / (1 -(-1)) = 3/2

A line passing through (1, 3) and (5, 11).

r = (11 - 3) / (5 - 1) = 8/4 = 2

A line passing through (1, 1) and (4, -3).

r = (- 3 - 1) / (4 - 1) = -4/3

A line passing through (0, 6) and (12, 9)

r = (9 - 6) / (12 - 0) = 3/12 = 1/4

Comparing the values of r, we can see the greatest one is 2 for the line passing through (1, 3) and (5, 11)

6 0

3 years ago