Question

Create an equation.

Answer 1

@Michele_Laino

Answer 2

@Hero

Answer 3

@welshfella

Answer 4

http://assets.openstudy.com/updates/attachments/556f231ce4b0c4e453fa9e42-rosebud4612flvs-1433346859795-1.gif

Answer 5

I think I got the equation but not the second part. y=-x^2+36

Answer 6

Would i be right?

Answer 7

the vertex form is- a(x -b)^2 + c
so here we have
y = -a(x - 0)^2 + 36

Answer 8

when y = 0 x = 6
0 = -a(6)^2 + 36 so a = 1

equation is y = -x^2+ 36

Answer 9

Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

Answer 10

its negative before the x^2 because the parabola opens downwards

Answer 11

this is the second part which i don't understand that goes with this equation :(

Answer 12

well it a matter of picking a sloped line and choosing which points you want it to intersect the parabola

Answer 13

Ok so which points should I choose? Actually, I'll let you decide.

Answer 14

pick the point where x is -5 and x = 4
you can work out the value of y by plugging these values into the equation.

Answer 15

x = -5 y = -(-5)^2 + 36
x = 4 y = -(4)^2 + 36

Answer 16

so y=41
and y=32
??

Answer 17

so thats 2 values for your linear function

Answer 18

now what do I do?

Answer 19

What would the table look like?

Answer 20

hmm - i wonder if this is easiest way to do this - anyway we've started it this way so we may as well continue

Answer 21

i've done things wrong way round...

Answer 22

Is that a 6?

Answer 23

scrap all that and build the table first - that's what they asked for anyway

Answer 24

What do you mean?

Answer 25

No matter, we can always start over:)

Answer 26

let the equation of the line be y = x + 10

pick 2 values for x either side of -6 and +6

lets work these 2 points out

x = -7 y = -7 + 10 = 3
x = 8 y = 8 + 10 = 18

Answer 27

so thats 2 values on our table

Answer 28

no we need to find the 2 points of intersect on the rainbow

we can do this by solving the system of equations

y = x + 10
y = -x^2 + 36

Answer 29

-x^2 + 36 = x + 10
x^2 + x - 26 = 0

Answer 30

What what would the table look like?

Answer 31

- yes - thats what we are calculating now

Answer 32

you can solve this by using quadratic formula

Answer 33

Oh sorry!

Answer 34

there will be 2 values for x
you can find the correspondimg values of y by subbing in y = x + 10

Answer 35

Ok! I see :)