Question 48: Graph of the Quadratic
Algebra
Level
2
MA.912.A.7.1
- Graph quadratic equations.
Algebra 1 EOC Study Guide. How many can you solve correctly?
D
C
B
A
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The quadratic equation is presented in standard form: y = ax^2 + bx + c. Here, a = 2, b = 8, and c = 7. The axis of symmetry for a parabola (derived from quadratic formula), is found by x = -b/(2a), in this case x = -8/4 = -2. This eliminates diagram A and diagram D, which are both centered on x = +2. The y-coordinate of the vertex is the output for the input of x = -2. 2(-2)^2 +8(-2) + 7 = 2(4) + -16 + 7 = -1. Therefore the vertex is (-2, -1) [Quadrant III, bottom-left part of the plane], which is only found in diagram C.