Lesson 8 - 2.6#11
Sketch the graph of a quadratic function from its formula using info
about is vertex and intercepts.
Zeros are since by factoring (3x+2)((x-6)=0 The vertex is midpoint (axis of symmetry) or So vertex is So Zeros ; y-intercept at and vertex (minimum since a is positive) at |
Lesson 8 - 2.6#12
Study of the concavity of a quadratic function based a study
of its rate of change.
Since the rate is decreasing the functions is concave down.
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Lesson 8 - 2.6#12 Study of
polynomials and quadratic.
Ans.: No the graph with 3 zeros cannot be a quadratic function, since a quadratic function can only have at most 2 zeros (or points where the graph crosses the x-axis) |
Lesson 8 - 2.6#16 Study of
velocity (quadratic function)
(a) V0 = 4, Since initial velocity is V(t) when t = 0 (b) Object is not moving when V(t) = 0 or
(c) The graph is concave up (a quadratic function with a minimum) |
Notes of Problems 2.6# 12 and 2.6#16
2.6#12 - A polynomial with zeros at x = 1 , x = 2 and x = 3 should look live this (many possibilities) | Graph of 2.6#16 is concave up |