SOLUTION: Write the minimum or maximum point for each function and give the coordinates for that point 1. y=x^2-4+1___ hint start at 0 and increase. 2.y=x^2-8+5___ hint start at2 and increas

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Question 161185: Write the minimum or maximum point for each function and give the coordinates for that point 1. y=x^2-4+1___ hint start at 0 and increase. 2.y=x^2-8+5___ hint start at2 and increase. 3. y=-x^2+2+6___ hint start at -1 and increase.I'm still in need of help with these if anyone can.
Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!

The answer for question 1&2 are the same .They are the equivalent graphs:
Simplify each equation
1. y=X^2+(-4+1)=x^2-3
2.y=x^2+-8+5)=x^2-3

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=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.73205080756888, -1.73205080756888. Here's your graph:


x^2-3=0
y+9/4=(x-3/2)^2
Plug in Values for x to get corresponding y values
y=-x^2+2+6
y-x^2+8
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=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2.82842712474619, 2.82842712474619. Here's your graph:

Plug in Values for x to get corresponding y values





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