Generate an appealing and educational image inspired by a mathematical function. The focus should be on a graph representing the quadratic function y equals (2x+1) squared subtracted by 4. On this graph, depict four distinct points, specifically (1,2), (-1,-3), (0,-2), and (-1,-5). Create clarity by using different colors or symbols for each point, presuming uniqueness for each. Ensure the image does not contain any text.

Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?(1 point)

Responses

(1,2)
left parenthesis 1 comma 2 right parenthesis

(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(−1,−5)

To find the point on the graph described by the function y=(2x+1)²−4, we need to substitute the x-value in the equation and solve for y. Let's check each option one by one:

Option 1:
x = 1
Substituting x = 1 in the equation:
y = (2(1) + 1)² - 4
y = (2 + 1)² - 4
y = 3² - 4
y = 9 - 4
y = 5
So, (1, 5) is not on the graph.

Option 2:
x = -1
Substituting x = -1 in the equation:
y = (2(-1) + 1)² - 4
y = (-2 + 1)² - 4
y = (-1)² - 4
y = 1 - 4
y = -3
So, (-1, -3) is on the graph.

Option 3:
x = 0
Substituting x = 0 in the equation:
y = (2(0) + 1)² - 4
y = (0 + 1)² - 4
y = (1)² - 4
y = 1 - 4
y = -3
So, (0, -3) is not on the graph.

Option 4:
x = -1
Substituting x = -1 in the equation:
y = (2(-1) + 1)² - 4
y = (-2 + 1)² - 4
y = (-1)² - 4
y = 1 - 4
y = -3
So, (-1, -3) is on the graph.

Therefore, the correct answer is (−1,−3).

Which phrase gives the definition of a medium?(1 point)

Responses

someone who communicates well with others
someone who communicates well with others

something not too hard or too easy
something not too hard or too easy

a size of something
a size of something

a way to present information

a way to present information

Why are photos helpful to a reader?(1 point)

Responses

Photos are more interesting than text.
Photos are more interesting than text.

Photos have captions to explain them.
Photos have captions to explain them.

Photos do not use words.
Photos do not use words.

Photos help the reader visualize things.

Photos help the reader visualize things.

Which two types of media best help to explain a recipe? Select the two correct answers.(1 point)

Responses

audio recording
audio recording

photo
photo

video
video

text

The two types of media that best help to explain a recipe are:

1. Photo: A photo can visually show the ingredients, cooking process, and final dish, helping the reader understand and visualize the steps involved in the recipe.

2. Video: A video can provide a more in-depth demonstration of the recipe, showing the cooking process in real-time and offering visual cues and techniques that may be difficult to convey through text or photos.

Therefore, the correct answers are photo and video.

Which type of medium should be used when giving someone a lot of information on a topic?(1 point)

Responses

photo
photo

audio recording
audio recording

video
video

text

When giving someone a lot of information on a topic, using text as a medium would be the most suitable option. Text provides the ability to present information in a detailed and comprehensive manner, allowing for the inclusion of specific details, explanations, and supporting evidence. It also enables the reader to consume and digest the information at their own pace, re-reading sections if needed. Therefore, text is the correct answer in this case.

Which is literacy?(1 point)

Responses

improving writing skills
improving writing skills

something free from exaggeration
something free from exaggeration

the ability to do something well
the ability to do something well

the ability to read and write