Wednesday

November 26, 2014

November 26, 2014

Posted by **eve** on Saturday, May 19, 2012 at 9:14am.

Parabola y = ax^2 + bx + c passes through the point (2;-6). Find the values of a, b and c, if vertex of parabola is (4;-10).

- math -
**Reiny**, Saturday, May 19, 2012 at 10:07amlet's find the equation in its standard form using the given information

since the vertex is (4,-10)

it must be

y = a(x-4)^2 -10

but (2,-6) lies on it

-6 = a(-2)^2 - 10

4 = 4a

a = 1

so y = (x-4)^2 - 10

y = x^2 - 8x + 16 - 10

y = x^2 - 8x + 6

so a=1, b=-8 and c=6

**Answer this Question**

**Related Questions**

Calculus - Find expressions for the quadratic functions whose graphs are shown. ...

math help plz2!!!! - Find an equation of parabola that has the indicated vertex ...

Math - Find an equation of the parabola with vertex at the origin that passes ...

algebra - Suppose a parabola has a vertex (-4,7) and also passes through the ...

math - A parabola with a vertex at (–1, –2) passes through the point (1,6). ...

College Algebra - Find the standard form of the equation of the parabola with ...

College Algebra - Find the standard form of the equation of the parabola with ...

math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...

math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...

Math - Find the quadratic function that has the indicated vertex and whose graph...