SOLUTION: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right. H(x)=-(x-6)^2+1

Question 194512: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
H(x)=-(x-6)^2+1
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let H(x) = y
,
y = (x-6)^2 +1
,
(y-1) = (x-6)^2,,,,,from this we can read, vertex at (6,1),
,
positive leading coefficient means it is pointing up
,
Axis of symmetry is x=6
,
another form might be,,, y=x^2 -12x +36 +1 = x^2 -12x +37
,
vertex of x is -b/2a = -(-12)/2(1) = +6,,, subst in to get y= 1,,,,( 6,1)
,
check by plotting a few points, (6,1),,,,(5,2),,,,(7,2)
RELATED QUESTIONS
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 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)