Scientists have found that each person sees a rainbow differently due to the person’s line of sight, the angle of the sun, and the amount of moisture in the sky. So YOUR view of the rainbow is truly one of a kind!
Graph the function
h(x)=-negative18x2+32x−118h of x is equal to negative one eighth times x squared plus three halves x minus eleven eighths
in your graphing calculator. Use the features of the graphing calculator to find the vertex (the maximum) of the parabola.
Rewrite the function
h(x)=-negative18x2+32x−118h of x is equal to negative one eighth times x squared plus three halves x minus eleven eighths
in vertex form. Type your answers in the blanks and click Submit. Use decimals or fractions as needed. To enter a fraction, use slash (/). For example, -negative12negative one half would be entered as -1/2.
Answer:Correct! Go to question 3.Incorrect. The correct answers are:
h(x)=-negative18(x−6)2+3.125h of x equals negative one eighth times the quantity of x minus six squared plus three and one hundred twenty five thousandths
[using fraction: h(x)=-negative18(x−6)2+258h of x equals negative one eighth times the quantity of x minus six squared plus twenty-five eighths
OR
h(x)=-negative18(x−6)2+318]h of x equals negative one eighth times the quantity of x minus six squared plus three and one eighth
Therefore, h(x)=-negative18x2+32x−118h of x is equal to negative one eighth times x squared plus three halves x minus eleven eighths has a maximum value of 3.125.
Start by graphing the quadratic function in the graphing calculator.
Find the vertex of the parabola. (What is the parabola’s maximum?) Use the features of the graphing calculator to facilitate finding this value.
The parabola has a maximum at (6, 3.125). This is the vertex of the parabola. h(x)=-negative18(x−6)2+3.125h of x equals negative one eighth times the quantity of x minus six squared plus three and one hundred twenty five thousandths
Go to question 3.
Incorrect. Review the Learn It section, and then try again.
