SOLUTION: How do you write y=-(x+1)^2-2 in standard and graph it?
Algebra.Com
Question 172880: How do you write y=-(x+1)^2-2 in standard and graph it?
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
You were given the parabola in vertex form.
You need to express it in standard form.
The standard form is y = ax^2 + bx + c
Your equation: y = -(x+1)^2 - 2
y = -(x+1)(x+1) - 2
y = -(x^2 + 2x + 1) - 2
y = -x^2 - 2x - 1 - 2
y = -x^2 - 2x - 3
=======================
Since the x^2 term has a negative infront, this means the parabola will be graphed downward (like an up side down letter U) and will have maximum value at the vertex.
To graph, select 3 negative and 3 positive values for x, simplify to find y values that together will make 6 points in the form (x,y). When you have the 6 points, plot them on the xy-plane and then connect each point with a smooth downward curve.
Understand?
RELATED QUESTIONS
How do you put y^2= -3x in standard form and graph... (answered by ewatrrr)
y^2=-4y+2x+1
1. how do you write in standard form
2. and what will the graph look like
(answered by ewatrrr)
How to write the conic section in standard form and graph it.
1. 8x-y^2-10y= 49... (answered by solver91311)
How do I write (x-1)^2+5(y+2)^2=20 (an ellipse) in standard form? I know you divide by... (answered by jim_thompson5910,josgarithmetic)
how do you write y=(x-4)(x+2) in standard... (answered by solver91311)
how do you graph y=x^2-6x+7 in standard form (answered by lwsshak3)
How do you write the following equation in standard form? y=x^2 + 2x -... (answered by prince_abubu)
How do you write f(x)=(2x+1)^2 in standard... (answered by misscrt)
how you do it?
1.write the equation 4y=3x+5 in standard form
identify a, b, c
3.... (answered by venugopalramana)