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Question

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Question 1
Directions:

Answer the questions below.
You will be able to check your answers by clicking on "Check Answers" at the bottom.
Check your answers as you work.
Treat this like a test review
We encourage you to score at least 70% before submitting so you feel prepared for your unit test.
Label the key parts of the parabola.

(1 point)
response - correct
Select responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.vertexSelect responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.zeroSelect responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.zeroSelect responses from the drop down fields to answer the question. Navigate to the desired drop down and select your response.line of symmetry
Question 2
Identify the key parts of this parabola(1 point)


A) The vertex is
(write your response as an ordered pair).

B) The lesser zero is
(write your response as an ordered pair)

C) The other zero is
(write your response as an ordered pair)

D) The line of symmetry is
(write your response as an equation)

E) The y-intercept is
(write your response as an ordered pair)

F) Complete the table below

x f(x)
-1
0
1
3
5

Answer 1

To label the key parts of the parabola and answer the associated parts of the question, you would typically need the graph of the parabola or its equation. I'll guide you through the general process of identifying these key parts.

Question 1: Label the key parts of the parabola.

• Vertex: This is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
• Zero (Roots): These are the x-values where the parabola intersects the x-axis. There will be two zeros for a quadratic function (unless it has only one, in which case it's a repeated root).
• Line of Symmetry: This is a vertical line that passes through the vertex, dividing the parabola into two mirror-image halves.

Question 2: Identify the key parts of this parabola. Without the specific points or equation, I can’t give you exact coordinates. However, here’s how you would fill in the answers if you had the graph or the equation of the parabola:

A) The vertex is (h, k), where (h, k) is obtained directly from the standard form of the parabola \(y = a(x-h)^2 + k\) or by completing the square if needed.

B) The lesser zero is the lower of the two x-intercepts. If you find the zeros by factoring or using the quadratic formula on the equation \(ax^2 + bx + c = 0\), this would be the smaller of those two values. Write this as an ordered pair, for example, (x1, 0).

C) The other zero is the higher of the two x-intercepts. Likewise, if you found that through the previous methods, write it as ordered pair (x2, 0).

D) The line of symmetry can be found by taking the x-coordinate of the vertex, which is \(x = h\).

E) The y-intercept occurs when x = 0. Plug x = 0 into the function \(f(x)\) to find \(y\), giving you the ordered pair (0, f(0)).

F) Complete the table with values of \(f(x)\) for the specified x-values (-1, 0, 1, 3, 5). You will substitute these x-values into the quadratic function to get the corresponding f(x) values.

To give precise answers, I would need the equation of the parabola or the specific graph segments you are working with. If you can provide that information, I can help further!