Graphs of Quadratic Equations Quick Check

Question

4 of 54 of 5 Items

Question
Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 14 to 1 in increments of 1. The y-axis ranges from negative 2 to 6 in increments of 1.

Identify the vertex on the graph.

(1 point)
Responses

x=−11
x equals negative 11

(−12,0)
left parenthesis negative 12 comma 0 right parenthesis

(−10,0)
left parenthesis negative 10 comma 0 right parenthesis

(−11,−1)
left parenthesis negative 11 comma negative 1 right parenthesis

Answer 1

To identify the vertex of the parabola, you typically look for the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards.

Since I cannot see the image you referenced, I can help guide you to the correct answer. Generally, the vertex can be found at the point where the parabola changes direction.

If the options provided are:

1. \( x = -11 \)
2. \( (-12, 0) \)
3. \( (-10, 0) \)
4. \( (-11, -1) \)

You should look at which point appears to be either the highest or lowest on the graph depending on whether the parabola opens upwards or downwards.

If the parabola opens upwards and has its lowest point at \( (-11, -1) \), then that would be the vertex. Conversely, if it were to open downwards, you would look for the point that is highest.

Please check the graph again to see which of those points meets the criteria of being the maximum or minimum, or the turning point of the parabola.

If you need help with the logic behind finding the vertex or the properties of a parabola, feel free to ask!