FST 1st Final Rev. Flashcardizz

Front

What is the formula for the height of a ball thrown into the air?

Back

The height, h, after t seconds is given by the function: h = -16t^2 + vt + h0, where v is the initial velocity and h0 is the initial height.

Front

How do you find the maximum height of a projectile?

Back

To find the maximum height, use the vertex formula t = -b/(2a) from the quadratic equation h = at^2 + bt + c.

Front

What is the maximum height of a ball thrown with an initial velocity of 100 ft/s?

Back

The maximum height is 1024 feet, calculated using the function h = -16t^2 + 64t + 960.

Front

Back

The domain is all real numbers greater than or equal to 0.

Front

What is the period of the function y = 4cos(5x)?

Back

Front

What does the notation (g∘h)(x) represent?

Back

It represents the composition of functions g and h, meaning g(h(x)).

Front

How do you find the composition of two functions?

Back

To find (g∘h)(x), substitute h(x) into g(x).

Front

What is the result of (g∘h)(x) if g(x) = 3x + 4 and h(x) = 3x - 1?

Back

The result is 9x + 1.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you determine the time it takes for a projectile to reach its maximum height?

Back

Use the formula t = -b/(2a) from the quadratic equation h = at^2 + bt + c.