Transforming quadratics

Front

Which function has a translation of 3 units to the left? Options: f(x) = 3x²+1, f(x) = (x + 3)² + 1, f(x) = (x - 3)² + 1, f(x) = (x + 1)²- 3

Back

f(x) = (x + 3)² + 1

Front

Which function has a translation of 2 units right and a vertical stretch by a factor of 5? Options: f(x)= 5(x - 2)², f(x) = 5(x + 2)², f(x) = (x - 2)² - 5, f(x) = (x + 2)² + 5

Back

f(x)= 5(x - 2)²

Front

Which function has a translation of 7 units down and reflects over the x-axis? Options: f(x) = -(x - 7)² + 1, f(x) = (x + 7)² + 1, f(x) = -(x - 1)² - 7, f(x) = (x + 1)² - 7

Back

f(x) = -(x - 1)² - 7

Front

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²? Options: It is shifted 3 units left., It is shifted 3 units right., It is shifted 3 units down., It is shifted 3 units up.

Back

It is shifted 3 units up.

Front

Which quadratic is the narrowest graph? Options: y = 3x², y = 4x², y = 2x²

Back

y = 4x²

Front

Which quadratic graph is the widest? Options: y = 5x², y = -¼x², y = -½x², y = 5x²

Back

y = -¼x²

Front

Comparing the functions, which is the most narrow? Options: f(x)=3x², g(x)= -2x², h(x)=0.5x², a(x)=12x²

Back

a(x)=12x²

Front

For a graph to be wider, the a value must be

Back

Very small number, regardless of sign

Front

Comparing h(x)=-5x²-1 to the parent function f(x)=x², determine which transformation DOES NOT occur. Options: Reflection over the x-axis, Vertical stretch by a factor of 5, Down 1 unit, Reflected over the y-axis.

Back

Reflected over the y-axis

Front

Equation for the given graph: f(x) = (x - 2)² - 1, f(x) = (x + 2)² - 1, f(x) = -(x + 2)² - 1, f(x) = -(x - 2)² - 1

Back

f(x) = (x + 2)² - 1