How do you find x-intercepts, axis of symmetry, maximum or

wingtipti

wingtipti

Answered question

2022-01-20

How do you find x-intercepts, axis of symmetry, maximum or minimum point, and y-intercept for the equation
y=x2+2x3?

Answer & Explanation

dodato0n

dodato0n

Beginner2022-01-21Added 9 answers

Step 1
To find x intercepts, find x to make y=?
That is: solve x2+2x3=0
(x1)(x+3)=0
The x intercepts are -3 and 1
Find y intercepts by finding y when x=0
y=(0)2+2(0)3=3
The y intercept is -3
Find the vertex:
The vertex of y=ax2+bx+c has x coordinate b2a
So the graph of y=x2+2x3 has vertex at x=22(1)=1
The axis of symmetry is the line: x=1
Because a=1 is positive, the parabola opens upard, so there is a minimum value for y. That minimum occurs where x=1, so the minimum is:
y=(1)2+2(1)3=123=4
The minimum value of y is -1
I dont

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?