Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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this is a parabola the y intercept is found setting x's value to zero
so y intercept is 14 or (0,14)
the x intercepts are found by setting y=0
so we have x^2+8x+14

using the quadratic formula we come up with x intercepts of -2.59 and -5.41 or (-2.59,0)and (-5.41,0)
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=8 is greater than zero. That means that there are two solutions:

Quadratic expression can be factored:
Again, the answer is: -2.58578643762691, -5.41421356237309. :

You can put this solution on YOUR website!
find the x and y intercepts:
y = x squared + 8x + 14
-----------------
To find the y-intercept, set x=0
y = 14, so it's (0,14)
Finding the x-intercepts is solving for x

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

Quadratic equation ax^2+bx+c=0

(in our case 1x^2+8x+14 = 0

) has the following solutons:

$x[12] = (b+-sqrt( b^2-4ac ))/2\a$

For these solutions to exist, the discriminant b^2-4ac

should not be a negative number.

First, we need to compute the discriminant b^2-4ac

.

Discriminant d=8 is greater than zero. That means that there are two solutions: $x[12] = (-8+-sqrt( 8 ))/2\a$ .

$x[1] = (-(8)+sqrt( 8 ))/2\1 = -2.58578643762691$
$x[2] = (-(8)-sqrt( 8 ))/2\1 = -5.41421356237309$

Quadratic expression 1x^2+8x+14

can be factored:
1x^2+8x+14 = (x--2.58578643762691)*(x--5.41421356237309)

Again, the answer is: -2.58578643762691, -5.41421356237309. Here's your graph:
graph( 500, 500, -10, 10, -20, 20, 1*x^2+8*x+14 )

To clarify, the x-intercepts are:
-4 + sqrt(2)

and