Graph Key Features Worksheets Grade 9

1. f(x) = -2x² + 12x - 10; vertex = ?
2. f(x) = 3x² - 12x + 5; f(4) = ?
3. A drone is flying over a field, and its height above ground is modeled by the quadratic function h(t) = -2t² + 12t + 5, where h is height in meters and t is time in seconds. After how many seconds does the drone reach its maximum height?

…and 6 more problems

1. The population of a certain bacteria colony is modeled by the function P(t) = 1200 * 2^(t/3), where t is the time in hours and P(t) is the population size. After how many hours will the bacteria population reach 19,200?
2. Emma is analyzing the graph of a quadratic function. The graph has x-intercepts at (-5, 0) and (5, 0), a y-intercept at (0, -25), and a vertex at (0, -25). Over what interval is the function increasing?
3. f(x) = 2x³ - 5x² + 3x - 7; f(-2) = ?

…and 6 more problems

1. Mere's function graph shows a parabola with vertex at (4, 16), x-intercepts at (0, 0) and (8, 0), and y-intercept at (0, 0). Identify the intervals where the function is increasing and decreasing.
2. Emma is analyzing the graph of a quadratic function that opens downward. The graph shows x-intercepts at (-5, 0) and (5, 0), and a y-intercept at (0, -25). The vertex is at (0, -25). Over what interval is the function increasing?
3. The function f(x) = -2x² + 12x - 10 models the height (in meters) of a projectile above ground level, where x is the time in seconds after launch. At what time does the projectile reach its maximum height?

…and 6 more problems