y = 18; y = -3(x - 18)^2 + 15; If the given equations are graphed in the xy-plane, at how many....
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- เผยแพร่เมื่อ 23 ก.ย. 2024
- Bluebook Digital SAT Practice Test 5, Section 2, Module 2 (HARD), Question 8:
y = 18
y = -3(x - 18)^2 + 15
If the given equations are graphed in the xy-plane, at how many points do the graphs of the equations intersect?
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It can be observed that the second equation is in the vertex form. It is a parabola facing downward with vertex at y=15. Thus, for any line to intersect the parabola, its value y value has to be less than or equal to 15.
Absolutely correct! I lean on teaching concepts in a way that is useful beyond the question at hand but valuable as a way of thinking for all similar questions. BUT yes, you are definitely correct in your observation.
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I fully understand why you are using general concepts. I am making comments as additional information for those who are aiming for the perfect score.