Use the Discriminant to determine the number and type of Roots
4x2 - 4x - 6 = 0
No real roots
Given the roots -4 and 3 write the related quadratic function in standard form.
The quadratic function is f(x) = x2 + x -12
What are the values of a,b,c, in the quadratic equation 4x2 + 5x - 9 = 0
What is a = 4, b = 5, c = -9
3x2 - 6x + 3 = 0
1 Real Root
Given the roots -2, -6 write the related quadratic function in standard form.
f(x) = x2 -8x +12
If the discriminant is zero explain what it means in terms of the graph of the quadratic function.
There is 1 real root (1 x-intercept).
9x2 - 3x + 2 = 0
no real roots
Given the roots -8, 4 write the related quadratic function in standard form.
f(x) = x2 -4x -32
What type of a function is y= ax2 + bx + c ?
Standard Form of a Quadratic Function
5x2 + x - 2 = 0
2 real roots
Write the function y = x2 - 2x +2 in vertex form.
y = (x-1)2 +1
4x2 - 8x + 4 = 0
1 Real root
Write the function y= x2 +4x -3 in vertex form. Then identify the vertex.
y= (x+2)2 -7
Vertex: (-2, -7)