How do you graph [tex] y = -1.5x^{2} + 6 [/tex]?

y = − 1.5 x 2 + 6 x = − 3 ⇒ y = − 1.5 ∗ ( − 3 ) 2 + 6 = − 1.5 ∗ 9 + 6 = − 13.5 + 6 = − 7.5 x = − 2 ⇒ y = − 1.5 ∗ ( − 2 ) 2 + 6 = − 1.5 ∗ 4 + 6 = − 6 + 6 = 0 x = − 1 ⇒ y = − 1.5 ∗ ( − 1 ) 2 + 6 = − 1.5 ∗ 1 + 6 = − 1.5 + 6 = − 4.5 x = 0 ⇒ y = − 1.5 ∗ 0 2 + 6 = 6
x = 1 ⇒ y = − 1.5 ∗ ( 1 ) 2 + 6 = − 1.5 + 6 = − 4.5 x = 2 ⇒ y = − 1.5 ∗ 2 2 + 6 = − 1.5 ∗ 4 + 6 = − 6 + 6 = 0 x = 3 ⇒ y = − 1.5 ∗ 3 2 + 6 = − 1.5 ∗ 9 + 6 = − 13.5 + 6 = − 7.5

Answered by Lilith | 2024-06-10

To graph the equation y = − 1.5 x 2 + 6 , first identify that it's a downward-opening parabola with a vertex at (0, 6). Create a table of values for different x-values, plot the points, and then connect them with a smooth curve. Following these steps will help you accurately graph the function.
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Answered by Lilith | 2024-12-23