In Exercises 1–4, the graph of a quadratic function is given. Write the function’s equation, selecting from the following options.
3.
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COLLEGE ALGEBRA ESSENTIALS
- The following table shows the crude steel production in the USA, in millions of metric tons. Year Crude Steel Production 1980 0 1985 5 1989 9 80 90 92 (A) Find a quadratic function f(x) = ax²+bx+c that fits the data, where x represents the number of years after 1980. f(x)= x² +2.833x + 80.arrow_forwardb. 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.)arrow_forwardExercises 125-130: Evaluate the expression for the given function f. 125. f(a + 2) for f(x) = 3 – 4x² 126. f(a – 3) for S(x) = x² + 2x 127. f(a + h) for f(x) = x² – x + 5 128. f(a – h) for {(x) = 1 – 4x – x² 129. f(a + h) – f(a) for f(x) = 2x² + 3 130. f(a + h) – f(a) for f(x) = x – x²arrow_forward
- A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. What is the maximum height of the penny above the ground?arrow_forwardRewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard form) and give the vertex. f(x) = [ 囡囡囡 Enter your answer as a point (a, b). Vertex: la f(x)=x²5xarrow_forwardConsider the function f(x) = x² + 7x + 13 x +4arrow_forward
- Example 3: Given the function h(x) = (x-2)/(3x + 4) and g(x)= (x+5)/x, determine the point(s) of intersection.arrow_forwardTo put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.arrow_forwardIn Exercises 1-4, the graph of a quadratic function is given. Write the function's equation, selecting from the following options. f(x) = (x + 1) – 1 h(x) = (x – 1) + 1 g(x) = (x + 1)² + 1 j(x) = (x – 1)² – 1 %3D %3D %3D 1. y 2. 6 15- 6- 5+ 4- 3- 2- -4-3-2- i 23 4 3-2-1, i 2 3 4 -2- -2- 3. 4. 6- 5- 4- 4- 3. 3- 2- 1- -4-3-2-1 23 4 -4-3-2 i 2 3 4 -2- -2- 6n4 m Darrow_forward
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