What is the equation of the parabola that has a vertex at $(3, 4)$ $(3, 4)$ and passes through point $(17, - 18)$ $(17,-18)$ ?

Question

What is the equation of the parabola that has a vertex at $(3, 4)$ $(3, 4)$ and passes through point $(17, - 18)$ $(17,-18)$ ?

1 Answer

Impact of this question

4685 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-15T10:41:08

The equation of Parabola is $y = - \frac{11}{98} \cdot {(x - 3)}^{2} + 4$ $y=-11/98*(x-3)^2+4$

Explanation:

The equation of Parabola with vertex at (3,4) is $y = a {(x - 3)}^{2} + 4$ $y=a(x-3)^2+4$ The point (17,-18) satisfies the equation so $- 18 = a {(17 - 3)}^{2} + 4 or - 18 = 196 \cdot a + 4 or a = - \frac{22}{196} or a = - \frac{11}{98}$ $-18= a(17-3)^2+4 or -18 = 196*a+4 or a=-22/196 ora =-11/98$ So the equation of the parabola is $y = - \frac{11}{98} \cdot {(x - 3)}^{2} + 4$ $y=-11/98*(x-3)^2+4$ graph{-11/98 (x-3)^2+4 [-40, 40, -20, 20]}

Science

Math

Humanities

... and beyond

What is the equation of the parabola that has a vertex at $(3, 4)$ $(3, 4)$ and passes through point $(17, - 18)$ $(17,-18)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the equation of the parabola that has a vertex at (3,4) (3, 4) and passes through point (17,−18) (17,-18) ?

1 Answer

Explanation:

Related questions

Impact of this question

What is the equation of the parabola that has a vertex at $(3, 4)$ $(3, 4)$ and passes through point $(17, - 18)$ $(17,-18)$ ?