Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? 1. vertical translation
2. horizontal translation
3. reflection over the x-axis
4. reflection over the y-axis

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

What is the value of x? enter your answer in the box. (cm)

Complete the table for different values of x in the polynomial expression -7x2 + 32x + 240. then, determine the optimal price that the taco truck should sell its tacos for. assume whole dollar amounts for the tacos.