SOLUTION: Find the vertex and intercepts of the function f (x) = x2 + x − 2

Algebra.Com
Question 471514: Find the vertex and intercepts of the function f (x) = x2 + x − 2
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
x2+x-2=0
(x+2)(x-1)=0
x=-2 or 1
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=9 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -2. Here's your graph:
..

RELATED QUESTIONS

Graph the function using its vertex, axis of symmetry, and intercepts. f(x) = x2 - 6x (answered by stanbon)
Find the real zeros of f and the x-intercepts of the graph of f. f(x) = −x2 + 5x + (answered by josgarithmetic,MathTherapy)
Find the vertex and intercepts of the following function: f(x)= (x-3)^2 + 2 (answered by jim_thompson5910)
Find the vertex and intercepts of the following function: f(x)= 2x^2 + 4x -... (answered by jorel1380)
Find vertex and x-intercepts of the function Y = x2 + 4x +... (answered by Alan3354)
Sketch the graph of the function. f(x) = x2 + 2x − 2 (axis of symmetry = -1,... (answered by Theo)
Find the x intercepts and the vertex of the parabola. (If an answer does not exist, enter (answered by stanbon)
1. Let f(x) = 2x^2 − 8x − 7. What is the quadratic in vertex form that is y (answered by josgarithmetic)
Let f(x) = 2x^2 − 8x − 7. Write the quadratic in vertex form (that is y... (answered by josgarithmetic)