How do I graph the parabola [tex]y = \frac{1}{32}x^2[/tex]?
Answer (2)
y = 32 1 x 2 x = − 16 ⇒ y = 32 1 ∗ ( − 16 ) 2 = 3 2 1 1 ∗ 25 6 8 = 8 x = − 8 ⇒ y = 32 1 ∗ ( − 8 ) 2 = 3 2 1 1 ∗ 6 4 2 = 2 x = 0 ⇒ y = 32 1 ∗ ( 0 ) 2 = 3 2 1 1 ∗ 0 = 0 x = 8 ⇒ y = 32 1 ∗ ( 8 ) 2 = 3 2 1 1 ∗ 6 4 2 = 2 x = 16 ⇒ y = 32 1 ∗ ( 16 ) 2 = 3 2 1 1 ∗ 25 6 8 = 8
To graph the parabola y = 32 1 x 2 , start by identifying the vertex at ( 0 , 0 ) and plotting points for selected x-values. Connect the points to form a smooth curve that opens upwards, labeling the graph for clarity.
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