# Math

posted by .

Find the quadratic function that has the indicated vertex and whose graph passes through the given point.

Vertex: (2,3) Point: (0,2)

I do not know how to do this! Please explain!! Thank You

• Math -

Write it in vertex form

y = a(x-2)^2 + 3, the only thing we don't know is the a value
sub in the given point
2 = a(-2)^2 + 3
-1 = 4a
a = -1/4

so
y = (-1/4)(x-2)^2 + 3

expand it if you need it in general form

## Similar Questions

Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the quadratic …
2. ### math

A quadratic function has its vertex at the point (-9,3). The function passes through the point (2,-1). Find the quadratic and linear coefficients and the constant term of the function.
3. ### Math

Find the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (2,3) Point: (0,2) I do not know how to do this! Please explain!! Thank You
4. ### Math

The graph of a quadratic function has vertex(3,-4) and passes through the point (4,1). Find the equation of the function in standard form. Rewrite the equation in general form. Could someone explain to me how to do this, just don't …
5. ### Math

Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Vertex: (-2, 5) Point: (0, 9)
6. ### math help plz2!!!!

Find an equation of parabola that has the indicated vertex and whose graph passes through the given point. Vertex (-3,5) Point (-6,1)
7. ### College Algebra

The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ?
8. ### College Algebra

A quadratic function has its vertex at the point (-9,8). The function passes through the point (9,4). When written in vertex form, the function is f(x)= a(x-h)^2 +k, where a) h)-9 k)8 4=a(9)^2+8 4=a(9+9)^2+8 4=a(18)^2+8 4=a(332) a=0.01204 …
9. ### Pre-Calc

A quadratic function has its vertex at the point (-5,-2). The function passes through the point (-8,-10). Find the quadratic and linear coefficients and the constant term of the function.
10. ### Math

Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point Vertex:2,-1 Point:4,-3

More Similar Questions