How do you graph #y = -7|x-3| - 4 #?
Reflect the graph over the y-axis, translate the graph 3 units to the right and 4 units down, and apply a scale factor of 7.
graph{y=-7abs(x-3)-4 [-6.955, 13.045, -12.88, -2.88]}
By signing up, you agree to our Terms of Service and Privacy Policy
To graph the function ( y = -7|x-3| - 4 ), follow these steps:
-
Identify the vertex of the absolute value function, which is at the point (3, -4).
-
Plot the vertex on the coordinate plane.
-
Determine the direction of the graph. Since the coefficient of the absolute value term is negative (-7), the graph will open downwards.
-
Choose points on either side of the vertex to determine additional points for the graph. For example, if x = 0, then ( y = -7|0-3| - 4 = -7(3) - 4 = -21 - 4 = -25 ). So, the point (0, -25) is on the graph.
-
Draw the graph by connecting the points. The graph will be a downward-opening "V" shape, centered at the vertex (3, -4).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7