y = x2-8x+15 Find the axis of symmetry, x = -b/2a

Q: what is the axis of symmetry of y=2(x+9)2

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Q: List the intercepts and test for symmetry: (x + 12) 2 + y2 = 16

A: Given that, x+122+y2=16

Q: Consider the equation x2/16 - y2/9 = 1. Solve, a. Find the x-intercepts. b. Explain why there are no…

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Q: 2x-8y=24   the x and y intercept

A: The general form of the line equation in intercept form is: where a is the x-intercept…

Q: Solve (D3+2D2-3D)y=x.e3x

A: Given: The given differential expression is a non-homogenous linear differential expression. The…

Q: Find the x-intercept and y-intercept of the graph of – 3x + 3y = - 9. Then graph. x-intercept = ,0)…

A: Given Data: The equation of the graph is: -3x+3y=-9 The x-intercept is found where the y coordinate…

Q: Find the y intercept  -2x+7y=28

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Q: Given the equation y = 3x - 2 %3D The x intercept is: The y intercept is:

A: →x - intercept : Value of x at which graph of straight line cuts the x - axis. To find x -…

Q: what is the axis of symmetry y = x2 − 2x − 8

A: The axis of symmetry is x,0. Where x=-b2a. The given equation is y=x2-2x-8. Comparing the equation…

Q: Solve (D2-5D+6)y=xe4x

A: The give differential equation is linear non homogeneous second order constant coefficient. So the…

Q: What is the axis of symmetry for the equation 2x2-x 15 = 0? | A. X = 2. B. | 4 C. D. X = 1/2 114

A: The axis of symmetry of a quadratic equation ax2+bx+c=0 is given by, x=-b2a

Q: x and y-intercept o

A: We have, y2=x3-4x .............................(1)  for x-intercepts  put y=0

Q: Find the key features of this equation: 6z - 12y = 48 %3D zero- starting point

A: Given:  6x-12y=48⇒  12y=6x-48⇒y=x2-4…

Q: Find an equation for the line perpendicular to 2x + 8y = 32 and goes through the point (-7, - 2).…

A: Let's find equation of line.

Q: Obtain the solution 3. (D³ - 2D + D- 2)y = 0

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Q: Find the x and y intercepts of the equation: y = – 10x + 11 - The intercepts are: x intercept = ( (o…

A: Given equation, y=-10x+11

Q: y= 4e^x-5 What would be the equation if reflected about the x axis?

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Q: . List the intercepts and test for symmetry:(x + 12)2 + y2 = 16

A: List the intercepts and test for symmetry:(x + 12)2 + y2 = 16

Q: Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x…

A: Solving the differential equation below

Q: How do you find the x and y intercepts for y-4x=8?

A: It is known that, “The x-intercept of the straight line is the point where a line crosses x-axis at…

Q: Find the solution. (D2+2D-3)y = 0 A y = B y = c,e- +cge²2 D

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Q: 8x

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Q: Find the x- and y-intercepts of the equation. -5x + 6y = 60 x-intercept (x, y) y-intercept (x, y) =

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Q: Find axis of symmetry and vertex of y=x2+4x+3

A: given that y=(x^2)+4x+3 find axis of symmetry and vertex

Q: find the solution (D^3-3D-2)y=0 when x=0, y=0 and y'=9, y''=0

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Q: Find the y intercept  -5x-6y=30

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Q: For the linear equation  y=7x-6  complete the table  x       Y -1      ? 0       ? 1       ?…

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Q: Parallel to y = 3x + 7; x-intercept is 2

A: We know that two parallel lines have the same slope. In the general equation of a line, y=mx+c, m…

Q: Find the solution, (D3-3D2+30-1)y = 0

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Q: Find the equation of the axis of symmetry and the coordinates of the turning point for y=x² + 4x -…

A: Given: equation y=x2+4x-3

Q: Sx- y = 4 12x + y = 2 determine the point of intersection of:

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Q: The position of x = -1 + 2t, y = 3 + 3t is

A: For finding the position, we have to find the values of x and y at t=0

Q: Determine the x & y-intercept algebraically: 2x = 5 – 3y

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Q: X- -(y-3)", the X+ Y-axis |

A: We need to find the area of given curve

Q: 3x2-y2=3 symmetric with respect to y-axis or x-axis

A: Given curve, 3x2 - y2 = 3 Or, 3x2 - y2 = 3Or, 3x2 - y2 - 3 = 0Let's call LHS as C(x, y). Hence, C(x,…

Q: Q4. Find the domain of the equation x +5 y = Vx2 - 16

A: The given equation is y = x+5x2-16. We have to find the domain of the function, i.e., the set of…

Q: Q3. Find an equation of the line passing through the point (1,2) and perpendicular to the line 3r-…

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Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

Q: Q3: Find the intercepts of the equations. • x = 1- y? 4x2 + 4y2 = 1 • y = V(x + 4)

A: Here given equation put x=0 to find y-intercepts put y=0 to find x-intercepts

Q: Find the x-intercept. X-2 y = 3x - 1 ([?], [])

A: Please see the below picture for detailed solution.

Q: The graph of y = x3 + ax2 + bx + 7 has an inflection point at (2,-10). Find the value of a and b.

A: Given that the graph of y=x3+ax2+bx+7 has an inflection point at (2,-10).we have to find the values…

Q: he following equations a 02 - 4D + 13)y = y"-4y' %3D 04 6D3 + 13D2 - 12D+

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Q: 2e) use 2d) to find a solution of the equation y"(x) – 2ay'(x) + a²y(x) = 0

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Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

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Q: The graph of y = x3 + ax2 + bx + 7 has an inflection point at (2, -10). Find the value of a and b.

A: we have been given that the graph of y=x3+ax2+bx+7 has an inflection point at (2,-10). we have to…

Q: Q8. Solve y() +3y" - 4y x + e2x.

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Q: Q3: Find the intercepts of the equations. x = 1– y? 4x2 + 4y2 = 1 %3D y = /(x + 4)

A: Solution:Givenx=1-y24x2+4y2=1y=x+4To find the intercepts of the equationFormula:For X intercept…

Q: Find the x and y intercepts of the equation: -3x + 5y = -30 The intercepts are: x intercept = ,0) y…

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Q: Obtain the solution (D³ - 2D + D – 2)y = 0

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