What is the graph of the function rule? y = |4x| – 3 (1 point) Responses Image with alt text: A graph with a V shape opening down. The vertex, or maximum, is at (0, negative 3) and the graph passing through (negative 1, negative 7) and (1, negative 7). Image with alt text: A graph with a V shape opening down. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, negative 1) and (1, negative 1). Image with alt text: A graph with a V shape opening up. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, 7) and (1, 7). Image with alt text: A graph with a V shape opening up. The vertex, or maximum, is at (0, negative 3) and the graph passing through (negative 1, 1) and (1, 1). Skip to navigation

Question

What is the graph of the function rule? y = |4x| – 3 (1 point) Responses Image with alt text: A graph with a V shape opening down. The vertex, or maximum, is at (0, negative 3) and the graph passing through (negative 1, negative 7) and (1, negative 7). Image with alt text: A graph with a V shape opening down. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, negative 1) and (1, negative 1). Image with alt text: A graph with a V shape opening up. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, 7) and (1, 7). Image with alt text: A graph with a V shape opening up. The vertex, or maximum, is at (0, negative 3) and the graph passing through (negative 1, 1) and (1, 1). Skip to navigation

Answer 1

The correct answer is:

Image with alt text: A graph with a V shape opening up. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, 7) and (1, 7).

Answer 2

answer in abcd format

Answer 3

c. A graph with a V shape opening up. The vertex, or maximum, is at (0, 3) and the graph passing through (negative 1, 7) and (1, 7).

Answer 4

To determine the graph of the function rule y = |4x| - 3, we can follow these steps:

1. Plot the vertex: The vertex of the graph occurs when the expression inside the absolute value, 4x, is equal to 0. Solving for x, we find x = 0. Therefore, the vertex of the graph is at (0, -3), since the -3 comes from subtracting 3 in the function rule.

2. Determine the direction of the graph: The coefficient of x inside the absolute value is positive (4 > 0), which means the graph will open upwards, resembling a "V" shape.

3. Find additional points: To find more points on the graph, we can select any x-values and substitute them into the function rule to calculate the corresponding y-values.

Let's choose x = -1:
y = |4(-1)| - 3
y = |-4| - 3
y = 4 - 3
y = 1

The point (-1, 1) lies on the graph.

Next, let's choose x = 1:
y = |4(1)| - 3
y = |4| - 3
y = 4 - 3
y = 1

The point (1, 1) is also on the graph.

4. Plot the points: Based on the calculations, we have the vertex at (0, -3) and two additional points (-1, 1) and (1, 1). So, we can plot these points on a graph.

Based on the description given, it appears that the correct response would be "A graph with a V shape opening down. The vertex, or maximum, is at (0, -3) and the graph passing through (-1, 1) and (1, 1)."