Q2 BM Review

Front

What is the formula to find the time at which a projectile reaches its maximum height?

Back

The time to reach maximum height for a projectile modeled by the equation h = at^2 + bt + c is given by t = -b/(2a).

Front

In the equation h = -0.3t^2 + 4t + 1, what do the coefficients represent?

Back

The coefficient -0.3 represents the acceleration due to gravity (negative indicates downward), 4 is the initial velocity, and 1 is the initial height.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, indicating the highest or lowest value of the function.

Front

How do you determine the range of a quadratic function in vertex form?

Back

The range can be determined by the vertex's y-coordinate and the direction of the parabola (upward or downward). If the vertex is (h, k) and opens upward, the range is [k, ∞).

Front

What is the process to eliminate a variable in a system of equations?

Back

To eliminate a variable, multiply one or both equations by a suitable number so that the coefficients of the variable are opposites, allowing for addition or subtraction.

Front

What does the term 'maximum height' refer to in projectile motion?

Back

Maximum height is the highest vertical position reached by the projectile during its flight.

Front

How do you find the vertex of a quadratic function given in standard form?

Back

For a quadratic function in standard form y = ax^2 + bx + c, the vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the range of the function y = x^2 - 8x + 10?

Back

The range is [−6, ∞) since the vertex is at (4, -6) and the parabola opens upwards.

Front

What is the importance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, no real roots.

Front

What does it mean for a function to be 'increasing' or 'decreasing'?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall as the input values increase.