For y = -x² + 4x + 12, find the vertex, the zeros, the y-intercept and the range.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
For , find the vertex, the zeros, the -intercept and the range.
Need a reminder? The key ideaShow
has its vertex at and opens upward when . Completing the square, , gives the vertex and the range.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Vertex. , : .
Step 2. Zeros. at and .
Step 3. Intercept and range. at ; the range is .
Answer: vertex , zeros and , intercept , range .
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