Consider the function f(x) = x2 + 3 and the function g(x) = f(2x) = (2x)2 + 3. how does the graph of g(x) differ from the graph of f(x)?

a. the graph of g(x) is the graph of f(x) compressed vertically by a factor of .
b. the graph of g(x) is the graph of f(x) stretched vertically by a factor of 2.
c. the graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
d. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of .

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x

What’s the volume of the triangular prism?

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality