Question
Each equation shown in the table matches one of the graphed equations.
Complete the table by identifying the color of the graph that matches each equation
Desmos Calculator (click here)
Equation Color of Graph
y=(34)x−3
y=−12x−2
y=0.1x2−2
y=(1.5)x−3
Skip to navigation
page 2 of 3
Complete the table by identifying the color of the graph that matches each equation
Desmos Calculator (click here)
Equation Color of Graph
y=(34)x−3
y=−12x−2
y=0.1x2−2
y=(1.5)x−3
Skip to navigation
page 2 of 3
Answers
GPT-4o mini
I currently don't have the capability to interact with external websites, including Desmos, or view specific graphs. However, I can help you identify the properties of each equation you've written based on their forms, which can help you match them with the colors of the graphs.
1. **Equation: \(y = (3/4)x - 3\)**
- This is a linear equation with a positive slope (3/4) and a y-intercept at -3.
- Look for a line that is slightly inclined upwards and crosses the y-axis below the origin.
2. **Equation: \(y = -12x - 2\)**
- This is a linear equation with a steep negative slope (-12) and a y-intercept at -2.
- Look for a line that descends steeply, crossing the y-axis just below the origin.
3. **Equation: \(y = 0.1x^2 - 2\)**
- This is a quadratic equation (parabola) that opens upwards (since the coefficient of \(x^2\) is positive) and has a vertex that is below the x-axis at y = -2.
- Look for a U-shaped graph that is centered around the y-axis and is relatively "wide" due to the small coefficient (0.1).
4. **Equation: \(y = (1.5)x - 3\)**
- This is a linear equation with a positive slope (1.5) and a y-intercept at -3.
- Look for a line that is inclined upwards, crossing the y-axis below the origin but at a steeper angle than the first line.
Using these descriptions, you can visually compare them to the graph colors in the Desmos tool and fill in the table accordingly. If you have specific description prompts for the colors of the graphs, I can help you match them to the equations based on that information!
1. **Equation: \(y = (3/4)x - 3\)**
- This is a linear equation with a positive slope (3/4) and a y-intercept at -3.
- Look for a line that is slightly inclined upwards and crosses the y-axis below the origin.
2. **Equation: \(y = -12x - 2\)**
- This is a linear equation with a steep negative slope (-12) and a y-intercept at -2.
- Look for a line that descends steeply, crossing the y-axis just below the origin.
3. **Equation: \(y = 0.1x^2 - 2\)**
- This is a quadratic equation (parabola) that opens upwards (since the coefficient of \(x^2\) is positive) and has a vertex that is below the x-axis at y = -2.
- Look for a U-shaped graph that is centered around the y-axis and is relatively "wide" due to the small coefficient (0.1).
4. **Equation: \(y = (1.5)x - 3\)**
- This is a linear equation with a positive slope (1.5) and a y-intercept at -3.
- Look for a line that is inclined upwards, crossing the y-axis below the origin but at a steeper angle than the first line.
Using these descriptions, you can visually compare them to the graph colors in the Desmos tool and fill in the table accordingly. If you have specific description prompts for the colors of the graphs, I can help you match them to the equations based on that information!