14 Select all the correct answers.

Which sequences of transformations applied to shape I prove that shape I is similar to shape II?

a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2
a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
a reflection across the y-axis, and then a dilation by a scale factor of 2
a reflection across the x-axis, and then a dilation by a scale factor of 2

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Find two consexutive odd integers such that the sum of their square is 650