what is the range of this quadratic function? { y | y ≥ -5 } { y | y ≤ -5 } { y | -5 ≤ y ≤ 10 } all real…
what is the range of this quadratic function? { y | y ≥ -5 } { y | y ≤ -5 } { y | -5 ≤ y ≤ 10 } all real numbers
Answer
Explanation:
Step1: Analyze the parabola's direction
The parabola opens upwards (since the coefficient of (x^2) is positive, which we can infer from the graph's shape).
Step2: Find the minimum value
The vertex of the parabola is the lowest point. From the graph, the (y) - coordinate of the vertex is (- 5).
Step3: Determine the range
For a parabola opening upwards, the range is all (y) values greater than or equal to the (y) - coordinate of the vertex.
Answer:
({y|y\geq - 5})