Given $f\left(x\right)=x^2$, compute $f\left(3\right)$ and explain which point you would plot for $x=3$ on the Cartesian plane.

Consider: y = −2(x − 1)² + 3. Which of the following choices correctly describes how this parabola will open and what its width will be compared to y = x²?

Convert the quadratic: y = x² − 6x + 5 into vertex form by completing the square, and identify the vertex.

Which statement correctly interprets the value of the discriminant $D=b^2-4ac$ for a quadratic equation $a{x}^2+bx+c=0$?

Find the x-intercepts of y = 2x² + 12x + 10 using the quadratic formula and state the axis of symmetry.