SOLUTION: please help of this 1. Given the function Y=-(x+1)^2+3 a) Find the X- and Y- intercepts (2 points) b) Find the maximum or minimum values (2 points) c) Sketch the funct

Algebra.Com
Question 1145566: please help of this
1. Given the function
Y=-(x+1)^2+3

a) Find the X- and Y- intercepts (2 points)
b) Find the maximum or minimum values (2 points)
c) Sketch the function.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
---------------------------------------------------------
Y=-(x+1)^2+3
a) Find the X- and Y- intercepts (2 points)
b) Find the maximum or minimum values (2 points)
c) Sketch the function.
----------------------------------------------------------

(a)
Let x be 0 and solve for y.
Let y be 0 and solve for x.

(b)
Read from the equation in the form you are given.
Maximum point is (-1, 3).
---
(?)----Look at the form of the equation! Certain values in their places tell you the coordinates for the vertex, and that it is a maximum point.
Starting with y=x^2, if change to y=-x^2, this reflects through the x axis at the vertex. Change to y=-(x-h)^2, will move entire graph h units to the right if h is positive. Change to y=-(x-h)^2+k, will move entire graph up by k units if k is positive.

(c)

RELATED QUESTIONS

Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by MathLover1)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by josgarithmetic,MathTherapy)
Could you please help me on these last 5 questions that I can't seem to figure out??... (answered by lwsshak3)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by Edwin McCravy)
Find the vertex, axis or symmetry, domain, range, x and y intercepts, and determine... (answered by Alan3354)
Would someone please help me with this equation??!!!!?!?!!! Find the vertex, the line of (answered by lwsshak3)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by jim_thompson5910)
This has to do with a quadratic function. For the quadratic function... (answered by venugopalramana)
Analyze the graph of the following function as follows: (a) Find the x- and... (answered by lwsshak3)