Question 884091: For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function.
Equation : f(x) = -(2 + x²)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function.
Equation : f(x) = -(2 + x²)
y=-x^2-2
This is a basic x^2 curve reflected about the x-axis and dropped 2 units down.
opens downward: (negative coefficient of x^2)
axis of symmetry: x=0 or y-axis
vertex: (0,-2)
y-intercept: (0,-2)
see graph below:
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