Determine the concavity of the graphs of y^2=x and y=x^3

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: square centered at the origin has its vertices on the x and y axes. The graph of the function f(x) =…

A: we know that the vertices have coordinates (0, ±k) and (±k, 0), where k is the side length of the…

Q: 1. Plot 1/(x^2-1), x/(x^2-1), x^2/(x^2-1), x^3/(x^2-1) when x = -2 to x=2.  2. What are the…

A: We have to plot graph of Gven Functions,1x2-1, xx2-1, x2x2-1, and x3x2-1.,From x = -2 to x=2.

Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: One of the stationary points of the Uncuon Is this a maximum or minimum point of the graph?

A: Given: y=4x5-6x3+x2-2 The stationary point is (-1,1).

Q: Find the center, transverse axis, vertices, foci, and the asymptote of the y^2-x^2-4x+4y-1=0

A: Steps and explanations are as follows: In case of any doubt, please let me know. Thank you.

Q: A ball is thrown from the top of a wall onto horizontal ground. The path of the ball is modelled…

A: The path of the ball is given by the below function. fx=6+8x−x2 To determine the height from which…

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: Identify and sketch the level curves (or of the function x^(2)-4z-y=2 contours)

A: A function x2-4z-y=2. To Find: Level curve and also sketch it.

Q: Identify the graph that represents g(x)=x^3+x+3

A:

Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: what graph represents y = x^2 + z^2? and why? Please explain step by step

A:

Q: how do you graph a perabula y=(x+4)^2+2

A:

Q: Which equation is best to use to determine the zeros of the graph of y = 4z² – 8z – 5? - O (2r +…

A: Simply factories the given expression and equate to zero.

Q: Graph f(y)=y^2(1-y)

A: Domain

Q: The graph of y = 3(x - 2)3 + 2 always increases except at x=,

A:

Q: Given the function Y= X^2 graph it by origin, draw the graphics of g = X^2 + 4 and the of h= X^2 - 2

A:

Q: 3- A B

A: Circle with center=(-1,0)                    Redius=4

Q: all the relative extreme points and inflection points for the graph of y = 1 + 3x^2 − x^3

A:

Q: Identify the graph that represents P(x)=x^5-3x^3+2

A: