SAT Math: Advanced Math

Which of the following equations represents a quadratic function?

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

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

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

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?

A company's profit is modeled by the quadratic function $P(x) = -0.2x^2 + 4x - 10$, where $x$ is the number of units sold. What is the maximum profit the company can achieve?

Which of the following graphs represents the quadratic function $f(x) = (x - 2)^2 + 1$?

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

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