Weegy: Example
Find the x- and y- intercepts of the quadratic function
f(x) = 1.5x2 - 3.2x - 9.6.
Solution
The y-intercept is found by replacing x with 0:
f(0) = 1.5(0)2 - 3.2(0) - 9.6 = -9.6.
[ Thus the y-intercept is the point (0, -9.6).
The x-intercepts are found by replacing y or f(x) with 0 and solving for x:
0 = 1.5x2 - 3.2x - 9.6.
Using the quadratic formula, we get
]
(More) 3
Identify the form
The function is in the form y = ax^2 + bx + c, where a = 1, b = -10, c = 25.
Since a > 0, the parabola opens upward, so it has a minimum.
Find the x-coordinate of the vertex
x = -b / (2a) = -(-10) / (2 * 1) = 10 / 2 = 5
Find the y-coordinate of the vertex
y = (5)^2 - 10(5) + 25 = 25 - 50 + 25 = 0
Answer: The minimum value is 0 at x = 5
Added 108 days ago|8/29/2025 9:29:48 AM
This answer has been confirmed as correct and helpful.