y = 3x 2 y = 2x 2 − 3 2 ‐3 up 1. Value of “a” 3 2. Value of “c” 0 3. Direction of up Opening 4. Curve wider, narrow normal or narrow 5. Does it have a min max or min point 6. Coordinates of (0, 0) the vertex 7. Equation of x = 0 axis of symmetry y = 0 8. Max or min value x ∈ or (−∞, ∞) 9. Domain of the function y ≥ 0 10. Range of the function X -2 -1 0 1 2 11. Table of y 12 3 0 3 12 Values X 12. Sketch of function (scale .5) y y = −2x 2 ‐2 0 down y = −x 2 + 5 ‐1 5 down y = −3x 2 + 5 ‐3 5 down narrow narrow normal narrow min max max max (0, ‐3) (0, 0) (0, 5) (0, 5) x = 0 x = 0 x = 0 x = 0 y = −3 y = 0 y = 5 y = 5 x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) x ∈ or (−∞, ∞) y ≥ −3 y ≤ 0 y ≤ 5 y ≤ 5 2 5 1 1 0 1 2 3 1 5 X y 2 8 1 2 0 1 2 X 0 2 8 y 2 1 1 4 0 1 2 5 4 1 X y 2 7 1 2 0 1 2 5 2 7
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