SOLUTION: Please find the -y intercept x intercepts if any vertex and line of symetry of the following quadratics.

Question 145458: Please find the -y intercept
x intercepts if any
vertex
and line of symetry of the following quadratics.

1.

2.

3.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The y intercept is at x = 0. f(0) is:
1. 12
2. 5
3. 15
1.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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 : .

The discriminant -44 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -44 is + or - .

The solution is , or
Here's your graph:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5, 1. Here's your graph:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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: 5, 3. Here's your graph:

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