What you’ll learn
Find and interpret vertex.
Key idea
Read the remaining output and use the coefficient sign for minimum versus maximum.
Solve inner zero for the input; coefficient sign determines whether the vertex is minimum or maximum.
Worked example
Classify examples and non-examples for the concept 'Find and interpret vertex'.
For f(x)=-3(x+4)²-1, classify "vertex (-4,-1) gives the maximum" with evidence.
- The squared term vanishes at x=-4, giving vertex (-4,-1).
- The coefficient -3 makes this a maximum; equal horizontal offsets have equal outputs.
Answer: True — the square vanishes at x=-4; coefficient sign gives a maximum.
Quick Check
Classify examples and non-examples for the concept 'Find and interpret vertex'.
For f(x)=-3(x+2)²+2, classify "vertex (-2,2) gives the maximum" with evidence.