Select the correct answer from each drop-down menu. in the figure, , and both lines are intersected by transversal t. complete the statements to prove that m∠1 = m∠5. (given) m∠1 + m∠3 = 180° (linear pair theorem) m∠5 + m∠6 = 180° (linear pair theorem) m∠1 + m∠3 = ∠5 + ∠6 () m∠3 = m∠6 () m∠1 = m∠5 (subtraction property of equality)

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.