Solving One-Variable Equations with Systems — Quiz
Question 1 • Algebra II
Which graph can be used to find the solution(s) to x squared minus 4 x plus 4 is equal to 2 x plus 1 plus x squared ?
Answer
A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 5 to 5 with an interval of 1 unit. There are two parabolas. One of them parabola opens up, has the vertex at (2 comma 0), passes through (0 comma 4) and (4 comma 4). The other parabola opens down, has the vertex at (1 comma 0), and passes through (negative 1 comma negative 4) and (3 comma negative 4).
B
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 5 to 5 with an interval of 1 unit.There are two parabolas. One of them opens up, has the vertex at (negative 2 comma 0), passes through (negative 2 comma 2) and (2 comma 2). The other parabola opens down, has the vertex at (1 comma 0), and passes through (negative 1 comma negative 4) and (3 comma negative 4).
C
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 5 to 5 with an interval of 1 unit. There are two parabolas and both the parabolas open up. One of them has the vertex at (2 comma 0), passes through (0 comma 4) and (4 comma 4). The other parabola has the vertex at (negative 1 comma 0), and passes through (1 comma 4) and (negative 3 comma 4).
D
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 5 to 5 with an interval of 1 unit. There are two parabolas and both open up. One of them has the vertex at (1 comma 0), passes through (0 comma 2) and (2 comma 2). The other parabola has the vertex at (negative 1 comma 0), and passes through (negative 2 comma 4) and (0 comma 4).