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Easy: Vertex and axis of symmetry
The vertex is the parabola's turning point, and the axis of symmetry is the vertical line through it. The zeros are where the graph crosses the x-axis and the y-intercept is where it crosses the y-axis. A parabola that opens up has its lowest point at the vertex, so its range is y ≥ k; one that opens down has range y ≤ k. In vertex form y = a(x − h)² + k, a is how far the graph rises or falls one step from the vertex.
Use the graph of each parabola to answer the question.
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The axis of symmetry is exactly halfway between the two zeros. Zeros at x = −1 and x = 5 put the axis at x = 2.
Then the function has no real zeros. The quadratic formula would give a negative discriminant for the same equation.
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