IM Alg1.6.9 Practice: Standard Form and Factored Form
Write each quadratic expression in standard form.
Draw a diagram if needed.
Consider the expression . Is the expression in standard form? Explain how you know.
Is the expression equivalent to ? Explain how you know.
Which quadratic expression is written in standard form?
Explain why can be said to be in both standard form and factored form.
Jada dropped her sunglasses from a bridge over a river. Which equation could represent the distance fallen in feet as a function of time, , in seconds?
A football player throws a football. The function given by describes the football’s height in feet seconds after it is thrown. Select all the statements that are true about this situation.
Two rocks are launched straight up in the air.
- The height of Rock A is given by the function , where .
- The height of Rock B is given by function , where .
Use graphing technology to graph both equations.
What is the maximum height of each rock?
Which rock reaches its maximum height first? Explain how you know.
The graph shows the number of grams of a radioactive substance in a sample at different times after the sample was first analyzed.
What is the average rate of change for the substance during the 10 year period?
Is the average rate of change a good measure for the change in the radioactive substance during these 10 years? Explain how you know.
Each day after an outbreak of a new strain of the flu virus, a public health scientist receives a report of the number of new cases of the flu reported by area hospitals.
is the average high temperature in Aspen, Colorado, months after the start of the year. is the temperature in Minneapolis, Minnesota, months after the start of the year. Temperature is measured in degrees Fahrenheit.
Which city had a higher average temperature in February?
Were the two cities’ average high temperatures ever the same? If so, when?