9 = 40 + 13<br> Helpppppp I need it due today

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

State whether the figure has rotational symmetry. If so, what is the angle of rotation? Round your answer to the nearest tenth o

Bezzdna [24]

This is an octagon, which has 8 sides.
the angle of rotation is 360/8 = 45°

4 0

3 years ago

Read 2 more answers

Write the phrase as an expression. Then evaluate when x=5. The sum of a number x and 4, all divided by 3

frozen [14]

Sum of a number, x and 4 all divided by 3

sum of x and 4 means x+4
all divided by 3
$\frac{x+4}{3}$
evaluate for x=5

$\frac{5+4}{3}=$
$\frac{9}{3}=$
$3$

it's 3

3 0

4 years ago

Read 2 more answers

Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride

irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

$v_{R} = \frac{x_{R}}{t}$