Use the following to answer questions :
A quadratic graph is shown. Assume required features have integer values.
f(x) = x 2 + 2x - 3 (Gridlines are spaced one unit apart.)
-Determine the range.
A) y $\in$ [-3, 1]
B) y $\in$ (-4, ?)
C) y $\in$ [-4, ?)
D) y $\in$ (-?, ?)

Question

Use the following to answer questions :
A quadratic graph is shown. Assume required features have integer values.
f(x) = x 2 + 2x - 3  (Gridlines are spaced one unit apart.)
-Determine the range.
A) y $\in$ [-3, 1] 
B) y $\in$ (-4, ?) 
C) y $\in$ [-4, ?) 
D) y $\in$ (-?, ?)

Quizplus · Accepted Answer

Since the coefficient of the quadratic term is positive, the graph opens upwards. Therefore, the minimum value of the function (i.e., the lowest point of the graph) occurs at the vertex. Using the formula for the x-coordinate of the vertex, we find that x = -b/2a = -2/(2(1)) = -1. Plugging this value into the function, we get f(-1) = 2(−1)−3 = −5. Thus, the range of the function is y ∈ [-5, ∞), and the only choice that includes this range is C.

Use the Following to Answer Questions : a Quadratic Graph ∈\in∈

Use the Following to Answer Questions :
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