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Parabola graphs, roots and turning points
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Parabola graphs, roots and turning points
Parabola graphs, roots and turning points
Example 1
For y=−(x−(0))2+(1), find the turning point.
y
-5-2.502.55-10010 x
y=−(x−(0))2+(1)Show worked answer
Answer: (0,1)
- Vertex form y=a(x−h)2+k has turning point (h,k), so it is (0,1).
Example 2
The graph is y=(x−(1))2+(−2). Its axis of symmetry is x=s. Find s.
y
-5-2.502.55-10010 x
y=(x−(1))2+(−2)Show worked answer
Answer: 1
- Equal horizontal offsets from x=1 give equal squared terms. The axis is x=1.
Example 3
For y=−(x−(1))2+(−3), find y when x=3.
y
-5-2.502.55-10010 x
y=−(x−(1))2+(−3)Show worked answer
Answer: −7
- Substitute x=3:y=−(2)2+(−3)=−7.
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