Question 884089: 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: g(x) = 3x² + 2x – 8
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: g(x) = 3x² + 2x – 8
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y=3x^2+2x-8
complete the square:
y=3(x^2+(2/3)x+1/9)-1/3-8
y=3(x+1/3)^2-25/3
parabola opens upward
vertex: (-1/3,-25/3)
axis of symmetry: x=-1/3
y-intercept: (0,-8)
See graph below:
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