Answer:
Step-by-step explanation:
The given trigonometric graph is symmetric about the y-axis.
This means it is a cosine function.
The basic is symmetric about the y-axis and has a y-intercept of 1.
Its range is
Since the given graph has y-intercept at -1 with the same range, it is the parent cosine function reflected in the x-axis.
Therefore its equation is
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
<h3>How to explain the graph?</h3>In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
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