21. Match the equation to the graph at right: A) y =-1/2(x+ 3)² + 3 B) y = -2(x - 3)° + 3 C) y= - ½ (x - 3)° -3 D) y = -(x + 3)² + 3 E) y =-(x - 3)² + 3 4. 3. 1.

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A: Given :   y=4x-2

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A:

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A:

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A: NOTE: Refresh your page if you can't see any equations. . write the coordinates of the vertices of…

Q: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

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A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

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A:

Q: How do I do this?

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A:

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Q: Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

A: Solution is written in below steps.

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A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

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A: To determine ∫C1 y2dx+x dy & ∫C2 y2dx+x dy where C1 is the line segment from (-5,-3) to (0,2)…

Q: 4. Use the algebraic tests to check for symmetry with respect to both axes and the origin. x - y? =…

A:

Q: Sketch the graph of y = m(r) in Figure 2. %3D 음-3, rS-1 m(x) = 4 %3D 1<r<5

A: Given,          mx=13x-3x≤-141&lt;x&lt;5

Q: For what values of a  and b  is the line 2x  + y = b tangent to the parabola y = ax 2   when x = 2

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A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

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Q: Find the point (a, b) on the graph of y = e^x where the value ab is as small as possible.

A: Solution:Given y=exTo find(a,b)  where ab is as small as possible.

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Q: 2. Sketch the graph of the cylinder given by 4x? + 9y² = 36.

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Q: shows the image of (D2 • Ry-axis)(4, -3)?

A: D2∘Ry-axis4,-3 this means 4,-3will be reflected over the y-axis. And then it will be dilated by 2.…

Q: 19.) Question is attached!

A:

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

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A: An equation of the form ax + by = c is called a linear equation. Here, x and y are variables, and a,…

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A: Given,

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Q: Explain in your own words why the general equation of a circle x? + y2 + Dx + Ey+F 0, is a special…

A: Explanation:

Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: 7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this…

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Q: The general equation of the circle that passes through the points (-3,4), (2,–6), and (5,0) is x2 +…

A: Given: Let us consider the given general equation of the circle, x2+y2+Dx+Ey+F=0 and the circle…

Q: 5) Write the equation of the circle with radius 3 and center (1, -7). a) O (r+1)+(v-7)²-9 b)…

A: Solve for the equation of the circle

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A:

Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

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Q: Test for symmetry with respect to each axis and to the origin. xy = −2

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A:

Q: Which graph is the one described by the set of parametric equa Sz = t ly = t³ %3D for -0<t < o∞ ?…

A: Given:  x = t , y = t3

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.