1. Find the cubic function y = ax³ + bx² + cx + d where its graph has horizontal tangent line at (-2,6) & (2,0). Hint: 4 missing variables therefore 4 working equations.

Q: Show that the x-coordinate of the vertex of the parabola whose equation is y = ax2 + bx + c occurs…

A: Given the equation of a parabola y=ax2+bx+c

Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

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Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: Find a cubic function whose graph has horizontal tangents at the points (-2, 6) and (2, 0

A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x…

A: Quotient rule of derivative of the function f(x)=u(x)/v(x) is

Q: Graph the parabola  f(x)=(x+1)^2-4 and the intercept (x,y)

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Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The cubic function y = ax3 + bx2 + cx +d pass through (0, -6), (1, -2) and tangent to the line 3x -…

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Q: A cubic function y = x³ + bx² + cx + d has an inflection point with x-coordinate equal to -3 and…

A: Given information Cubic function: y=x3 +bx2 +cx+d, Inflection point: x=-3, Tangent line at the…

Q: Calculate the semi-major axis ((x+2)^(2))/(4)+((y-4)^(2))/(25)=1

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