SOLUTION: graph y=x graph y=x^2
-> SOLUTION: graph y=x graph y=x^2
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Algebra: Rational Functions, analyzing and graphing
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DESCRIBE a linear EQUATION: slope, intercepts, etc
describes a sloping line. For any
equation ax+by+c = 0, slope is
X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 0/1 = 0.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 0/-1 = -0.
Slope is -1/-1 = 1.
Equation in slope-intercept form: y=1*x+-0.
SOLVE quadratic equation with variable
(in our case
) has the following solutons:
For these solutions to exist, the
should not be a negative number.
First, we need to compute the discriminant
Discriminant d=0 is zero! That means that there is only one solution:
Expression can be factored:
Again, the answer is: 0, 0. Here's your graph: