a) with out solving the equation (or factoring) determine the solutions to the equations 7-6x-x²=0 using only the graph.
The graph of y=7-6x-x² crosses the x-axis at (-7,0) and (1,0) and they are
where y=0, so the solutions of 7-6x-x²=0 are x = -7 and x = 1
b. Does this function have a maximum or minumum?
A maximum because the vertex is the highest point.
c. What are the coordinates of the vertex in (x,y) form?
(-3,16) because the vertex is above -3 on the x-axis and beside 16
on the y-axis.
d. what is the equation of the axis of symmetry for this parabola?
Every point on the green axis of symmetry is in line with -3 on the
x-axis, so its equation is x = -3.
Edwin
