The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units. What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?

Group of answer choices

LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2

LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2

LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4

LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Aremote-controlled boat can travel at 4 feet per second in calm water. the boat traveled 48 feet with the current, and then it traveled 16 feet against the current in the same amount of time. how fast is the current?

Apolynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect-square trinomial factoring by grouping