Use the image to answer the question.
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 12 to 5 in increments of 1. The y-axis ranges from negative 5 to 12 in increments of 1.
Identify the vertex on the graph.
(1 point)
Responses
(−5,0)
left parenthesis negative 5 comma 0 right parenthesis
(0,5)
left parenthesis 0 comma 5 right parenthesis
(0,−5)
left parenthesis 0 comma negative 5 right parenthesis
x=−5
The correct answer is (1 point) (−5,0) or left parenthesis negative 5 comma 0 right parenthesis.
To identify the vertex on the graph, you need to locate the point where the parabola reaches its highest or lowest point. In this case, since the parabola is opening upwards (positive coefficient of the squared term), the vertex will be the lowest point on the graph.
Looking at the given options, we can locate the vertex by observing the coordinates.
The options are:
(−5,0)
(0,5)
(0,−5)
x = −5
To find the correct answer, we need to examine the x-coordinate and y-coordinate separately. The correct answer will have the x-coordinate of the vertex as -5.
Amongst the given options, we observe that only the last option, x = -5, has the x-coordinate -5, which means it is the correct answer.
So, the correct answer is: x = -5.