Home > Algebra > Vertex Form of a Quadratic Equation

How do you find the vertex of #y = (x - 3)^2#?

Answer 1

Savannah Anderson

The vertex is at #color(red)((3,0)#.

#y = (x -3)^2#

The vertex form for the equation of a parabola is

#y = a(x-h)^2 + k#, where (#h, k#) is the vertex of the parabola.

We can re-write your equation as

#y = (x -3)^2 + 0#

By comparing the two equations, we see that #h = 3# and #k = 0#.

The vertex is at (#3,0#).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

To find the vertex of the quadratic function y = (x - 3)^2, you use the formula x = -b/(2a) where the quadratic equation is in the form y = ax^2 + bx + c. In this case, a = 1, b = -6, and c = 9. Substituting these values into the formula yields x = -(-6)/(2*1) = 3. Thus, the x-coordinate of the vertex is 3. To find the corresponding y-coordinate, substitute x = 3 into the original equation: y = (3 - 3)^2 = 0. Therefore, the vertex of the function is (3, 0).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.