SOLUTION: Given the quadratic function y = x 2 - 4 x + 3 , respond to the following: a) Does the graph open up or down? b) What is the equation of the axis of symmetry? c

Question 35924: Given the quadratic function y = x 2 - 4 x + 3 , respond to the following:
a) Does the graph open up or down?
b) What is the equation of the axis of symmetry?

c) What are the coordinates of the vertex?
d) Give the y intercept.
e) Give the x intercept(s).
f) Sketch the graph

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

This is a parabola that opens up, since the coefficient of is positive.

You can complete the square or use a formula to find the vertex and the line of symmetry.

Completing the square looks like this:

Take half of the x coefficient (which is -2) and square it (which is 4), and add and subtract 4 from the right side of the equation.

The line of symmetry will be the value of x that "zeros out the , which will be x=2. This will also be the x coordinate of the vertex. To find the y coordinate of the vertex, let x= 2, and you have y = -1.

Vertex = (2,-1)

The y intercept is where x = 0. If x = 0, then y =3.

The x intercept is where y = 0. If y = 0, then

So, the x intercepts will be at x =3 and x= 1.

Graph

R^2 at SCC

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