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Answer:
Step-by-step explanation:
x-intercepts are when the curve intercepts the x-axis, so when y =0.
Therefore, to find the x-intercepts, substitute y = 0 and solve for x.
The vertex is the turning point: the minimum point of a parabola that opens upward, and the maximum point of the parabola that opens downward. As a parabola is symmetrical, the x-coordinate of the vertex is the midpoint of the x-intercepts.
Equation:
Therefore, the x-intercepts are x = 0 and x = 2
The midpoint of the x-intercepts is x = 1, so the x-coordinate of the vertex is x = 1
Equation:
Therefore, the x-intercepts are x = -5 and x = 4
The midpoint of the x-intercepts is x = -0.5, so the x-coordinate of the vertex is x = -0.5
Equation:
Therefore, the x-intercepts are x = 0 and x = 3
The midpoint of the x-intercepts is x = 1.5, so the x-coordinate of the vertex is x = 1.5