Find the coordinates of the vertices of each figure after the given transformation. roțațion 90° counterclockwise about the origin O G(-2,0), H'(1,2), F'(-3,5) O F'(3, -3), G'(-2,-2), H'(0, 1) O F(-4, -2), G"(-3,3), H'(0, 1) O F'(3, 3), G'(2, –2), H'(-1,0)

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: Convert to vertex form h. y= x^2 +6x -2

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Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Which equation could represent a graph with x -intercepts of (4, 0) and (-7, 0) ?

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Q: ind the slope of the altitude from the vertex R to side ST of triangle RST with vertices R (-2,7),…

A: The given coordinates of the vertices are: R(-2,7),S(4,3) and T(2,0) We know, the slope m of line…

Q: Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point

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Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: Which one of ordered pair (point) given below does not satisfy this equation y = - 2 x +1 Points:…

A: y = - 2 x +1 For (1, -1) Put x = 1 y = -2 × 1 + 1 y = -1  Hence (1, -1) satusfy the equation

Q: On a rectanglular coordinate system graph the equation and label the points on the graph…

A: Consider the given function, y=x3-1   Calculate the y-values of the graph at the given x-values.…

Q: Find a sinusoidal function for the following graph

A: A sinusoidal function can be a sine or cosine function. Both give a periodic, oscillating function.…

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

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Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: (5,4) faw (4,2) +++ Figure 4 axes provided below. Label at least six points axes provided below.…

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Q: This graph shpws parallelogram JKLM and parallelogram K'K'L'M'. Which function describes a…

A: This graph shows parallelogram JKLM and parallelogram K'K'L'M'.

Q: 37. Find the coefficients a, b, c, and d so that the curve shown in the accompanying figure is the…

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Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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