At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I think I got the equation but not the second part. y=-x^2+36
Would i be right?
the vertex form is- a(x -b)^2 + c so here we have y = -a(x - 0)^2 + 36
when y = 0 x = 6 0 = -a(6)^2 + 36 so a = 1 equation is y = -x^2+ 36
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.
its negative before the x^2 because the parabola opens downwards
this is the second part which i don't understand that goes with this equation :(
well it a matter of picking a sloped line and choosing which points you want it to intersect the parabola
Ok so which points should I choose? Actually, I'll let you decide.
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.
x = -5 y = -(-5)^2 + 36 x = 4 y = -(4)^2 + 36
so y=41 and y=32 ??
so thats 2 values for your linear function
now what do I do?
What would the table look like?
hmm - i wonder if this is easiest way to do this - anyway we've started it this way so we may as well continue
i've done things wrong way round...
Is that a 6?
scrap all that and build the table first - that's what they asked for anyway
What do you mean?
No matter, we can always start over:)
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
so thats 2 values on our table
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
-x^2 + 36 = x + 10 x^2 + x - 26 = 0
What what would the table look like?
- yes - thats what we are calculating now
you can solve this by using quadratic formula
there will be 2 values for x you can find the correspondimg values of y by subbing in y = x + 10
Ok! I see :)
so then we would need 2 more points correct?
just to check, these are 2 points of intersection?
yes solve the quadratic for x theh y = x +10 for the 2 values
* 2 y values
ok! But where did the y=x+10 come from?
the first x value will be between -6 and -5 and second will be between 4 and 5
x = (-1 +/- sqrt(1^1 - 4*1*-26)) / 2
ok, so it could be like -4 for the first and idk for the second
that comes to x = 4.62 and - 5.62
gtg right now
u still there?