# Algebra

posted by .

Determine the quadratic function of f whose vertex is (2,-1) and passes through (3,1)
f(x)=

• Algebra -

from the vertex, we know that

y = a(x-2)^2 - 1
since y(3) = 1,
1 = a(3-2)^2-1
1 = a-1
a = 2

y = 2(x-2)^2 - 1

## Similar Questions

1. ### Algebra 2

Which quadratic function has its vertex at (2,3) and passes through (1,0)?
2. ### 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
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

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)
5. ### college algebra

determine the quadratic function of f whose graph is the vertex of (1,-4) and the y-intercept is -3.
6. ### college algebra

determine the quadratic function f whose vertex is (2,-4) and passes through (3,-1) f(x)= what?
7. ### cllege algebra

determine the qudratic function whose vertex is (2,-4) and passes through (3,-1) fx=
8. ### algebra

Determine the quadratic function f whose vertex is (3,-2) and passes through(1,6) f(x) = ax^2 + bx + c
9. ### 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 ?
10. ### 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 …

More Similar Questions