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11. The given parabola has equation:
We complete the square to have the function in the vertex form:
The vertex is (-3,-8), the graph opens down because a=-3<0
Ans: B. Vertex: (−3, −8), opens downward
12. We know the graph of is a parabola that opens up and has its minimum point at the origin.
The range of this function is
A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect and hence will form a system with no solution.
Ans: D. y equals x squared, y equals 3x minus 6
14. We want to find the zeros of
The factored form is
Ans: C. x = −7, −9
15. The given quadratic expression is
We split the middle term to obtain:
We factor by grouping to get:
Ans: D. 6x − 5
