SOLUTION: graph the function - label vertex and axis of symmetry y=-(x+3)^2 + 5

Question 547728: graph the function - label vertex and axis of symmetry
y=-(x+3)^2 + 5

Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
So for any parabola, we have the following possible transformations:

where (h,k) is the vertex, and a is the dilation and reflection.

So from this we can see that (-3,5) is the vertex, and we are reflecting it along the x axis (since a=-1).

So we have y=x^2(the base function) to begin

And now we reflect it along the x axis

And we use the vertex point (or slide the whole thing to the left 3 units and up 5 units

We can also make a table of values and check if they match with our graph.
Hopefully this helps!
RELATED QUESTIONS
graph the quaratic function. label the axis of symmetry and vertex.... (answered by earljan143)

how do i graph and label the function Y=(x-3)^2 Label the vertex and axis of... (answered by jim_thompson5910)

Graph each function. Label the axis of symmetry, the vertex and the y-intercept. y =... (answered by Mathtut)

Graph the function y=5x2 + 8. Label the axis of symmetry and the... (answered by rfer)

Graph y=x^2-1 and graph y=-3x^2 label the vertex and the axis of... (answered by Fombitz)

graph the equation and label the vertex and the axis of symmetry.... (answered by Nate)

f(x)=-x^2+4x-2 graph,label thhe axis of symmetry and the... (answered by rfer)

y=x^2-2x-1 graph the quadratic function. label the vertex and axis of... (answered by jim_thompson5910)

Find and label the vertex and the line of symmetry. Graph the function. f(x) =... (answered by stanbon)