SOLUTION: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
g(x)=-x^2-2x+8
Algebra.Com
Question 194518: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
g(x)=-x^2-2x+8
Found 2 solutions by RAY100, stanbon:
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let g(x) =y = x^2 -2x +8
,
positive leading coefficient means that it points up
,
x vertex is at x=-b/2a = -(-2)/2(1) =1
substitute in to get y,,,,y=1^2 -2*1 +8 = 7
Vertex is (1,7)
Axis of symmetry is x= 1
checking plot a few points,,,(1,7),,,(2,8),,,,(0,8),,,,,ok
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
g(x)=-x^2-2x+8
-----------
When "x" gets very large, x^2 gets very, very large, but
negative x^2 getx very negative; so y gets very, very negative.
So the parabola opens downward.
------------------------------
Vertex, axis ??????
-x^2-2x + ? = y-8 + ?
-(x^2+2x+1) = y -8 -1
-(x+1)^2 = y-9
----
Vertex at (-1,9)
Axis of symmetry: x = -1
==============================
===============================
Cheers,
Stan H.
RELATED QUESTIONS
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by RAY100)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by RAY100,stanbon)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by Mathtut)
Tell weather the parabola opens up or down and find the coordinates of the vertex and the (answered by lwsshak3)
Tell weather the parabola opens up or down and find the coordinates of the vertex and the (answered by Gogonati)
Given the quadratic function:
f(x) = -1/2x^2-3x+5/2
a. Determine whether the parabola (answered by MathLover1)
How can you tell if a parabola opens left/right or up/down such as for this question.... (answered by stanbon)
My homework instructions say, "State if the parabola opens left, right, up or down,... (answered by checkley79)
Function:
-4x^2-8x+10
Determine whether the graph opens up or down. Find axis of... (answered by Alan3354)