2 years ago

F(x)=-x^2 find f(3)……………………………

Mathematics

1 answer:

Taya2010 [7]2 years ago

7 0

Answer:

- 9

Step-by-step explanation:

$F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9$

You might be interested in

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

12,<br> Is this a discrete?

a_sh-v [17]

Yes it is a discrete

3 0

3 years ago

The function f(x) = -3/4x^2 +9/2x models, in feet, the shape of a doorway arch on a historic building. How high is the

slamgirl [31]

Is has to be 7.25 feet.

3 0

3 years ago

A printer can print 40 pages in 1.6 minutes

Rzqust [24]

Given:
40 pages in 1.6 minutes

40 / 1.6 = 25 pages per minute

25 x 5 minutes = 125 pages

40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages

25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes

4 0

3 years ago

Sasha is making custom designs using these small trapezoidal prisms. She wants To cover each of the eight prisms in her current

mr_godi [17]

Answer:

the answer is 3040 and does

3 0

2 years ago