SOLUTION: Find the vertex and intercepts for each quadratic function. Does it open up or down? y = x^2 – 4

Algebra.Com
Question 4114: Find the vertex and intercepts for each quadratic function. Does it open up or down? y = x^2 – 4

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
There are several ways to find the vertex and graph a quadratic function. One easy way is to realize that in the general case

the vertex is at

Therefore for the coefficient of x is zero, so the vertex is at x=0. When x = 0, y = -4, so the vertex is at (0, -4).

The graph opens upward, since the coeffient of x^2 is positive. It would open downward if the coefficient of x^2 is negative.

The y-intercept is where x=0, which is at the point (0, -4).

The x-interecepts are where y=0, which are at
or x=2 and at x=-2.

RELATED QUESTIONS

Find the vertex and intercepts for each quadratic function. Does it open up or down? y =... (answered by smartdude17)
for the quadratic function: f(x)=3(x+4)^2 state the vertex:( , ) does the parabola... (answered by jim_thompson5910)
4. Write the equation in standard or vertex form for each quadratic function below. A)... (answered by Fombitz)
y= (x=2)(x-1) Find vertex, find axis of symmetry, does it open up or... (answered by Alan3354)
Write the equation in standard or vertex form for each quadratic function below. A)... (answered by stanbon)
For the quadratic function f(x)=3x^2+6x+2 a.)Graph the quadratic function by determining (answered by Boreal)
Does the quadratic function y = -12(x+2)^2-7 have it's vertex at (-2,7) and open down?... (answered by venugopalramana)
What is the vertex of the absolute value function f(X)=- the absolute value of X-5 -3,... (answered by MathLover1,greenestamps)
f(x)=x^2-2x-24 a - Determine the vertex? b - Does the graph open up or down? c -... (answered by MathLover1)