SAT Math: Advanced Math

After completing the square, a quadratic function is expressed as $f(x) = -3(x - 1)^2 + 4$. Which direction does the parabola open, and what is the vertex?

A projectile's height, $h(t)$, is modeled by the quadratic function $h(t) = -16t^2 + 64t + 80$, where $t$ is the time in seconds. What is the maximum height the projectile reaches?

Match the quadratic equation $f(x) = -(x - 1)^2 + 2$ to its graph after applying multiple transformations.

A company's revenue, $R(x)$, from selling $x$ units is modeled by a quadratic graph. The vertex of the graph is at (500, 50000). What does the x-coordinate of the vertex represent?

The height of a ball thrown is modeled by $h(x) = -0.1x^2 + 2x + 5$, where $x$ is the horizontal distance. What do the x-intercepts and vertex represent in this context?

What is the y-intercept of the quadratic function $f(x) = -3x^2 + 5x - 2$?

Which of the following equations represents a quadratic function?

The quadratic function $f(x) = x^2 - 4x + 7$ is given. What is the vertex of the parabola?

The parent function $f(x) = x^2$ is transformed to $g(x) = 2(x + 3)^2 - 4$. Describe the transformations applied.

What is the axis of symmetry for the quadratic function $f(x) = 2x^2 + 8x - 5$?