For Exercises 71–78, given a quadratic function defined by f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , match the graph with the function based on the conditions given. a > 0 , h < 0 , k < 0
For Exercises 71–78, given a quadratic function defined by f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , match the graph with the function based on the conditions given. a > 0 , h < 0 , k < 0
Solution Summary: The author explains that the graph in option d matches with the given conditions for the quadratic function.
For Exercises 71–78, given a quadratic function defined by
f
(
x
)
=
a
(
x
−
h
)
2
+
k
(
a
≠
0
)
, match the graph with the function based on the conditions given.
The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is the y-intercept of the graph of f?
Find real numbers a, b, and c so that the graph of the function f(x) = ax2 +bx + c
contains the points (-1, -6), (1, 4), and (2, 0). Use this model to predict f(4).
b. Find a quadratic function that models y, the number of millions of people with Alzheimer's disease or
other dementia, as a function of x, the number of years after 2000. Report the model with four significant digits.
y = (x² + (x +
(Type integers or decimals.)
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