If the graph of y = f(x) undergoes a horizontal stretch or shrink to become the graph of y = g(x), do these two graphs have the same x-intercepts? y-intercepts? Explain your answers.

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given, y=1-x

Q: Estimate the x- and y- intercepts from the graph

A: According to given graph we can see that graph is intersecting x-axis at 0,0 and touching y-axis at…

Q: Use the 3 point method or otherwise to sketch the graph of y=2x

A: We can sketch the  graph of y=2x By inserting the values x=0,1,2 Then we get values of y  for…

Q: The graph of a function y=f(x) can have more than one of which type of intercept

A: Given query is to find which intercept can be more than one.

Q: If the graph of y = f(x) undergoes a vertical stretch or shrink to become the graph of y = g(x), do…

A: Vertical stretches pulls the graph away from the x-axis and vertical shrinking pushes the graph…

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: Which points on the graph of y = 4 - x2 are closest to the point (0,2)? Ans. and

A: We will use Lagranges multiplier to find nearest points on graph

Q: 3. Which graph represents the equation below ソ=ーデマ 1 y3--x+2

A:

Q: Given an equation in x and y, how do you determine if its graph is symmetric with respect to the…

A: Given an equation in x and y. To check the symmetry of the graph with respect to the y-axis,

Q: Sketch the graph of the function

A: We need to sketch the graph of the function, y=e-x2

Q: Find a formula for the quadratic function whose graph has y-intercept at y=11 and zeros at x=1 and…

A:

Q: Match the portion of the graph with the corresponding equation that represents the number of…

A: We know that the general equation of the straight liney = mx + bwhere m = slopeb = constant

Q: Find the point on the graph of y2 - xz2 = 4 nearest the origin.

A:

Q: Match the equation with its graph. y2 +z2 - x² = -1 = -1 %3D |

A: To be found :     Graph of y2 + z2  - x2 = -1

Q: Using the first and second derivatives, sketch a graph for y=3x^3-4x^2-2.

A: Solution: The objective is to graph the given equation y=f(x)=3x3-4x2-2

Q: What is the graph of y = f(x+ 1) - 2?

A:

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: How do we know that the graph of y = -3x is a straight line that contains the origin?

A: y = -3x

Q: I need to graph f(x)= x^2+3. And I need to know why it's graphed that way.

A:

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: x = -2y2 x=-2y2:  Parabola with vertex at h, k=0, 0, and focal length |p|=18 4px-h=y-k2  is the…

Q: Sketch the graph of y = 4x/(x + 1)2, x > -1.

A: To sketch the graph of y=4xx+12, x>-1 Since x>-1, we consider values of x greater than 1, and…

Q: Which points on the graph of y= 4-x^2 are closest to the point (0,2)?

A: Given function- y=4-x2 Any point on the curve of this function will be given by- x,4-x2 The given…

Q: . Does the graph of y = Vi - In x, x > 0, have an inflection point? Try to answer the question (a)…

A: y=x-lnx

Q: Which is the graph of the ine y-2 = 3(x - 1)?

A:

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f…

A: To explain: The relation between the graphs of y=fx+c and y=fx in rectangular coordinates. Concept…

Q: Find the point on the graph of the equation 16x = y2 that is closest to the point (6, 0).

A: The function is 16x=y2 and the point is 6,0.

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: Q3\ Sketch the graph of the curve 1- y=x² +2

A:

Q: construct the graph y = x² + e ^ x.Find its lowest point

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: What is the piece-wise equation and domain for the 1t section of the graph? f(x)

A: NOTE: Refresh your page if you can't see any equations. . for the first part, the x-intercept is…

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=-…

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Q: Sketch a graph of y = Vx + 4

A:

Q: Given the graph of y = f(x), what is the value of f(0)?

A: Here we need to find the value of f(0) from given graph above.

Q: Explain the effect that the constant a has on the graph of y = ax². Be sure to consider a 0.

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where (h,k) is the vertex of the parabola…

Q: Use a graphing device to graph the curve x = y4 - 3y2

A: Given curve:

Q: 24. Find the point of inflection of the curve x3 – 6x2 + 2x + 14.

A: Using formula of point of inflection of the curve.

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Sketch the graph of (x + 3)² + y² = 11.

A: x+32+y2=11 It is in the form of x-h2+y-k2=r2. Therefore it represents a circle with center at h,…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given equation: x=-9-y2

Q: Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

A:

Q: What causes the graph of y = x² to open downward?

A:

Q: What point on the graph of y = x² is closest to the point (3,0)?

A:

Q: What is the slope of the graph y = -x² at x = 3? %3D | -6 4 -4

A:

Q: For Exercise, estimate the x- and y-intercepts from the graph.

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Q: Which is the graph of y = Vx + 2 +1

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Q: Sketch the graph of the function. y = e−x/2

A: Graph of the function y = e-x2

Q: Describe the shape of the graph of y=(x+2)(xto the power of 2-1) with regards to its intercepts

A:

Q: How does the value of a affect the graph of y = ax? if a s 0?

A: The given equation is,     y=ax2