Algebra 2 Basics

If f(x) = 3x² − 7x + 2, find f(2).

What is the vertex of the parabola represented by the equation y = 2x² − 4x + 1?

Solve the logarithmic equation log⁡₂(x − 3) = 5.

Solve for x: 2x² − 3x − 5 = 0

What is the solution to the system of equations: x + 2y = 8 and 3x − y = 5

Solve for x in the equation 4^{x + 1} = 64.

Which of the following represents the equation of a circle with center at (2, −1)(2, −1) and radius 4?

Solve the equation x² − 8x + 15 = 0 by factoring.

Simplify the expression \frac{x^2+3x-4}{x^2-1}.

What is the sum of the roots of the quadratic equation 2x² + 4x - 6 = 0?