Students recognize quadratic relations from equations in standard, factored, or vertex form, from vertical-parabola graphs, and from tables with equally spaced inputs and constant nonzero second differences, and graph them by plotting ordered pairs and connecting the pattern with a smooth curve. They identify the vertex, axis of symmetry, direction of opening, $y$-intercept, and real zeros, including two distinct zeros, one repeated zero, or no real zeros, from graphs or equations. They solve accessible quadratic equations with integer coefficients by factoring and applying the zero-product property, including repeated factors, without using the quadratic formula or complex solutions.