Problem Solving Aris drew two figures on the coordinate grid
shown below. Justify if these two figures are
similar using the table below.
Original Algebraic
New
у
Vertices Equation Vertices
D
DO)
(x, y)
D'(.)
EC)
(x, y)
E'(,)
F.)
(x, y)
FC)
D
G)
(x, y)
G'(,)
F
Are these figures similar? What is your proof?
X

If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

What is the x-intercept and y-intercept of the equation 2x+1. 2o