SOLUTION: Can you PLEASE show me how to graph a quadratic function using its properties? p(x)=-x^2+2x-5 Thank You!

Question 171209: Can you PLEASE show me how to graph a quadratic function using its properties?
p(x)=-x^2+2x-5 Thank You!
Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!

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 : .

The discriminant -16 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 -16 is + or - .

The solution is

Here's your graph:

Because the squared term is - the parabola is upside down.

RELATED QUESTIONS
Can you PLEASE show me how to graph a quadratic function using its properties?... (answered by jojo14344)

Can you please show me how to graph this quadratic function using its properties, and... (answered by jim_thompson5910)

Can you please show me how to graph each quadratic equation using its properties, and... (answered by jim_thompson5910)

Can you please show me how to solve this equation using the quadratic formula... (answered by Alan3354)

Find the critical point of the function {{{y=-2(x-1)^2 -3}}} Then, determine whether the... (answered by richwmiller)

Can someone please show me how to graph the equation y=1/2x^2+1 using symmetric... (answered by KMST)

Hello! Can you please show me how to graph y=x^2-1 and y=-3x^2 thank... (answered by Fombitz)

Can you please show me how to work this equation out using the quadratic formula. w^2... (answered by jim_thompson5910)