Question

i need a unique parabola equation

Answer 1

@Vocaloid

Answer 2

@dude

Answer 3

It can be any parabolic equation?

Answer 4

yes but can u make it fairly easy

Answer 5

(x+2)(x+7)

Answer 6

thats it i thought thats the parabola once its factored

Answer 7

I mean you can also do \((x+7)^2\)

Answer 8

for example on a quiz i took it says The equation f(x) = 3x2 − 24x + 8 represents a parabola.

Answer 9

wouldnt the parabola be a f(x) equation

Answer 10

Ah

Answer 11

f(x) just means y, so that doesnt matter

Answer 12

ok but im still confused on how what u gave me is a parabola

Answer 13

This is what I gave you https://www.desmos.com/calculator/lnh2sd5siy

Answer 14

ok and with this how do i find the y intercept and the zeros

Answer 15

Do you have to find the y-intercept and the zeroes algebraically? or can you do it graphically?

Answer 16

i need to have the numbers and then a picture of the graph for the equation

Answer 17

the points i see are (-7,0) (-2,0) and (-4.5,-6.25)

Answer 18

(-7,0) (-2,0) Are the zeroes ;p

(-4.5,-6.25) is the vertex

Answer 19

ok but what is the y intercept

Answer 20

it says that the parabola needs to be in f(x) = ax2 + bx + c. form how do i put (x+2) (x+7) in that form

Answer 21

https://www.desmos.com/calculator/9wnragacbn is the y-intercept

Answer 22

Oh you have to distribute \((x+2)(x+7)\)
=>\(x^2+9x+14\)

Answer 23

so it would be f(x)=x^2+9x+14

Answer 24

Right

Answer 25

ok now it said describe the direction that it goes

Answer 26

Well the graph should explain that :P
Does it curve upward or downward?

Answer 27

it curves upward because

Answer 28

the parabola equation uses positive numbers at the end

Answer 29

not quite, the `a` value in the equation determines its curve
\(f(x)=ax+bx+c\)
If `a` is positive then it curves up
If `a` is negative it curves down

Answer 30

so it curves up because a is positive

Answer 31

Yes