Quadratic Transformation

The quadratic graph m(x) was transformed to create n(x). Which description best describes the transformation of n(x)?

• Vertical shift of 4 units to the right

• Vertical shift of 4 units to the left

• Horizontal shift of 4 units to the left

• Horizontal shift of 4 units to the right

The quadratic graph m(x) was transformed to create n(x).

n(x) = ​ ​ ​ (a)   ​

• m(x+4)
• m(x-4)
• m(x)+4
• m(x)-4

Quadratic function r was transformed to create function s. Which description best describes this transformation?

• Function r was vertical shifted 3 units down

• Function r was horizontal shifted 3 units right

• Function r was vertical shifted 3 units up

• Function r was horizontal shifted 3 units right

• The graph of g is wider than f

• The graph of g is narrower than f

The graph of f(x) is shown on the grid. Which statement about the relationship between the graph of f and g(x) = 4x² is true?

• The graph of g is wider than f

• The graph of g is narrower than f

• The graph of g is shifted 4 units down

• The graph of g is shifted 4 units up

In the vertex formula:

f(x) = a (x-h)² + k

a affects ​ (a)   , negative a creates a ​ (b)  

h affects ​ (c)   left/right

k affects ​ (d)   up/down

• vertical/horizontal stretches
• reflection
• horizontal shifts
• vertical shifts

• right
• left

In the vertex formula:

f(x) = a (x-h)² + k

If a > 1, the graph is ​ (a)   stretched which makes it ​ (b)   .

If a < 1, the graph is ​ (c)   stretched which makes it ​ (d)  

• vertically
• narrower
• horizontally
• wider

In the vertex formula:

f(x) = a (x-h)² + k

If k is positive, the function shifts ​ (a)  

If k is negative, the function shifts ​ ​​​ (b)  

• up vertical
• down vertical
• left 1 unit
• right 1 unit