Exploring Quadratic Functions and Graphs

What is the shape of the graph of a quadratic function?

Which of the following is the standard form of a quadratic equation?

What is the vertex of the quadratic function $$y = (x - 3)^2 + 4$$ ?

Which of the following quadratic equations can be factored as $$(x - 2)(x + 3) = 0$$ ?

If the quadratic function $$y = x^2 - 4x + 3$$ is graphed, what are the x-intercepts?

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

Which of the following is a factored form of the quadratic equation $$x^2 - 9$$ ?

What is the minimum value of the quadratic function $$y = x^2 + 6x + 9$$ ?

Which of the following describes the direction of the parabola for the quadratic function $$y = -x^2 + 4x - 5$$ ?

What is the factored form of the quadratic equation $$x^2 + 5x + 6$$ ?