None, it touches it at x = -3.
For a quadratic y = ax2 + bx + c, it will meet the x-axis (y = 0) either 0, 1 or 2 times dependent on: b2 - 4ac. If b2 - 4ac is:
for y = x2 + 6x + 9:
b2 - 4ac = 62 - 4 x 1 x 9
= 36 - 36
= 0
so the line meets the x-axis once, but does not cross it - all the values of y are greater than, or equal to zero, but never negative.
1.5
zxccvc
It would not touch or intersect the x-axis at all.
Easy way to remember which axis is which: x is a cross (across)
Easy way to remember which axis is which: x is a cross (across)
9
It will cross the x-axis twice.
1.5
The graph will cross the y-axis once but will not cross or touch the x-axis.
Two.
the origin
It doesn't cross the x-axis since the position the equation is in is 9 units above the x-axis and the graph never curves the other way so it will never touch the x-axis
Once.
The origin
The origin
zxccvc
The graph of y = -x^2 + 3 crosses the x-axis when y = 0. To find the number of times it crosses the x-axis, we set -x^2 + 3 = 0 and solve for x. This equation has two solutions, so the graph crosses the x-axis twice. Therefore, the answer is C. Two.