For y = x2 − 4x + 3,

Determine if the parabola opens up or down.
State if the vertex will be a maximum or minimum.
Find the vertex.
Find the x-intercepts.
Describe the graph of the equation.
Show all work and use complete sentences

Question

For y = x2 − 4x + 3,

Determine if the parabola opens up or down. 
State if the vertex will be a maximum or minimum. 
Find the vertex. 
Find the x-intercepts. 
Describe the graph of the equation.
Show all work and use complete sentences

hero · Answer

On the graph of y = x^2 - 4x + 3, the parabola opens upward. The vertex will therefore be a minimum. To find the vertex, use x = -b/2a, then substitute x back into the original equation to find y. To find the x-intercept, set y = 0, then solve for x, The graph of y = x^2 - 4x + 3 is the graph of x^2 shifted two units to the right, and 1 unit downward.