find the x-intercept of the parabola with vertex (1,1) and y intercept (0,-3) write your answer in this form: (x1,y1),(x2,y2) if necessary round to the nearest hundredth

Question

welshfella · Answer

vertex form of  a parabola is

a(x - b)^2 + c

welshfella · Answer

where the vertex is (b,c)

welshfella · Answer

(b,c/) = (1,1) so  we have

y = a(x - 1)^2 + 1
y intercept is (0,-3) so we ca n write

-3 = a(x - 1)^2 + 1

solve for a to find the equation of the parabola

mathmale · Answer

In other words, solve for the coefficient a.
Then, write the vertex equation of a parabola" for this particular situation.
Ensure that you know whether the parabola opens up or down     OR   to the right or to the left.

Finally, let y=0 to find the x-intercepts of this parabola.  

You might want to sketch this situation for added clarity.

mathmale · Answer

@love.kat123:  Please, become involved in solving this problem.  It's your involvement that determines how much you understand and remember about equations of parabolas.

whpalmer4 · Answer

What @mathmale said.  You can read as much as you want, and it seems like you understand it, but the actual learning takes place when you do the problems yourself.