Discuss the properties of the curve and sketch fully 3. y= x^3 - 3x^2 + 4x -12

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: (X+2)^2=6(Y-1) Graph the equation. Plot the vertex and the endpoints of the latus rectum.

A:

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: what does Point-slope form show?

A:

Q: Determine whether the graph of Y=3x^6-2x^4 is symmetrical with respect to the x, y axis and origin.…

A: To check the symmetry of given graph function

Q: True or False The y-coordinate of a point at which thegraph crosses or touches the x-axis is an…

A: The x-intercept of a line is the distance of the x coordinate from the point where the line cuts the…

Q: Sketch the curve of y= 3x-10x³-12x²-7

A: The objective is to sketch the graph.

Q: Graph the curves y = x3(8 - x)

A: The equation of the curve is y=x38-x. To graph the equation, find some  points  on the curve. x…

Q: 1.) y = 2 X²+1

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Determine algebraically whether the graph is symmetric with respect to the x-axis, the y-axis, and…

A:

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A:

Q: Write and equation for a line perpendicular to f(x)= 5x - 1 and passing through the point (5,20)

A:

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…

Q: r = sin 0 + 2 cos² 0

A: Given