Answer: [tex]\bold{\dfrac{1}{49}}[/tex]
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- "a" is the coefficient
- (h, k) is the vertex
Since the given information is (h, k) = (-3, -1) and (x, y) = (4, 0), we can input those values into the vertex form and solve for "a":
0 = a[4 - (-3)]² + (-1)
0 = a(4 + 3)² - 1
0 = a(49) - 1
1 = 49a
[tex]\dfrac{1}{49}=a[/tex]
