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Instructions and exercises on finding the slope and equation of tangent lines to a parabola at given points. It includes a graph of the function f(x) = 2x² and three tangent lines at x = -3, x = -1, and x = 2. Students are asked to find the slope and y-intercept of each tangent line and label them on the graph.
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Math 160 – Section 1.2 – The Slope of a curve at a Point You have been given the graph of 2 y f ( ) x x and three lines which are tangent to the graph of 2 y f ( ) x x at x = -3, -1, and 2. a) From the graph, obtain the value of the slope and y-intercept of each of the lines. Then, complete the table and label each of the lines on the graph. x- coordinate Coordinates of the point on the graph Slope of line tangent to the graph at the given point y- intercept Equation of the tangent line x = -3 (^) y 1 x = -1 (^) y 2 x = 2 (^) y 3 1
b) Use the information from the previous page to complete the following table: x-coordinate of point
Slope of the tangent
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