Which functions share the (–3, 0)? x-intercept Which functions share the (2,0)? x-intercept Quadratic Function in Factored Form A function that is the product of two linear factors in is a quadratic function and its graph is a x parabola. In the example above the linear factors are _________ and _________ and the quadratic function is = _________________________. y The Zero Product Property If a product is zero, then one or more of the factors must be zero. In the example above, if (3x + 9)(–x + 2) = 0, then either __________ = 0 or __________ = 0. Use the Zero Product Property to find all values of that make each equation true. x (x + 3)(x 6) = 0 or = _______ x = _______ x – (2x 10)(4 = 0 or = _______ x) x = _______ x – – 6) = 0 or = _______ x(x x = _______ x – or = _______ x = _______ x Use the Zero Product Property to find the for each of these functions. x-intercepts are (____,0) and (____, 0) x-intercepts are (____,0) and (____, 0) x-intercepts are (____,0) and (____, 0) x-intercepts Check your answer to #11 with a graph. Find the vertex of the parabola: (____, ____)
Which functions share the x-intercept (–3, 0)? Which functions share the x-intercept (2,0)? Quadratic Function in Factored Form A function that is the product of two linear factors in x is a quadratic function and its graph is a parabola. In the example above the linear factors are _________ and _________ and the quadratic function is y = _________________________. The Zero Product Property If a product is zero, then one or more of the factors must be zero. In the example above, if (3x + 9)(–x + 2) = 0, then either __________ = 0 or __________ = 0. Use the Zero Product Property to find all values of x that make each equation true. (x + 3)(x – 6) = 0 x = _______ or x = _______ (2x – 10)(4 – x) = 0 x = _______ or x = _______ x(x – 6) = 0 x = _______ or x = _______ x = _______ or x = _______ Use the Zero Product Property to find the x-intercepts for each of these functions. x-intercepts are (____,0) and (____, 0) x-intercepts are (____,0) and (____, 0) x-intercepts are (____,0) and (____, 0) Check your answer to #11 with a graph. Find the vertex of the parabola: (____, ____)
alg_u8_i4_a841_func_fac_form.docx