Clearly draw quadratics on a graph that matches the information

pierdoodsu

pierdoodsu

Answered question

2021-12-24

Clearly draw quadratics on a graph that matches the information given.
Discriminant of 6 and a=2

Answer & Explanation

Mary Nicholson

Mary Nicholson

Beginner2021-12-25Added 38 answers

Step 1
Let y=ax2+bx+c
Discriminant =b24ac
If a<0, discriminant >0, then the quadratic represents a downward parabola with intersecting the x-axis at two points.
b24(2)c=6
b2+8c=6
c=6b28
y=2x2+bx+6b28
Take b=4
y=2x2+4x54
Step 3
The graph of the quadratic,
Jenny Sheppard

Jenny Sheppard

Beginner2021-12-26Added 35 answers

Step 1
Given y=ax2+bx+c
=b24ac (the discriminant)
a<0, b24ac>0
b24(2)c=6
Let's solve for c
b2(4)(2)c=6
Add b2 to both sides
b2+8c±b2=6±b2
8c=b2+6
Divide both sides by 8
8c8=b2+68
c=18b2+34
Step 2
Solve for b
Let's solve for b
b2(4)(2)c=6
Add -8c to both sides
b2+8c±8c=6±8c
b2=8c+6
Take square root
b=8c+6 or b=8c+6
Answer:
b=8c+6 or b=8c+6
c=18b2+34

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?