Question

1) a. Write an equation for the parabola with vertex at (3,-2) and through (2,2), opening to the left. b. Describe what would happen to the shape of the graph if the p-value from the equation in part (a) were to double. Use complete sentences.

Answer 1

a) The general equation of the parabola opening to the left leight is (y k) ² - 4P (x-b) where Chik) is cente vertex Here Chik) = (3-0) - (4+2)2 = 4P (2-3) The parabola passing through the point 2 (2+2)2 - up (2-3) 16= 4P ED =) p=-4 4 = -P Hence, the equation of parabola is (y + 2)² - 16 (2-3) by If the value off is double in the above equation te f = 2X(-4) = -8 - Cytz) 2 - 32 (x-3) Then #has vestical stretch by facts I. The transfrontonation point is The parabula has same line of symmetry The parabola has long curred shape as compone to the shape in eq? 0 The directix of the parabola shifted to the right