SOLUTION: For quadratic functions, sketch two parabolas showing all procedures (concavity, y-intercepts, x-intercepts, symmetric axis and vertex point) A) {{{y= 3x^2 -4x +1}}} B) {{{y=

Question 39546: For quadratic functions, sketch two parabolas showing all procedures (concavity, y-intercepts, x-intercepts, symmetric axis and vertex point)
A)
B)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A)(y= 3x^2 -4x +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=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1, 0.333333333333333. Here's your graph:

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: -0.5, 1. Here's your graph:

Hope this helps.
Cheers,
Stan H.
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