Unit 4 Review 12/11

Front

What is the formula for the height of a projectile in motion?

Back

h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What does the leading coefficient of a quadratic function indicate about its graph?

Back

The leading coefficient determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the significance of the vertex in a projectile motion graph?

Back

The vertex represents the maximum height of the projectile.

Front

What does the y-intercept of a graph represent in a projectile motion problem?

Back

The y-intercept represents the initial height of the object at time t=0.

Front

If a model rocket is launched with an initial speed of 88 feet per second, how can you determine when it reaches a specific height?

Back

Use the height equation for the rocket and solve for time when height equals the specific value.

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does it mean for a parabola to open downwards?

Back

It means the leading coefficient (a) is negative.

Front

In the function h(t) = -16t² + 16t + 480, what does the term -16t² represent?

Back

It represents the effect of gravity on the height of the object over time.

Front

How can you determine the time it takes for an object to hit the ground using a quadratic function?

Back

Find the x-intercept by setting the height function equal to zero and solving for t.