Quadratic Desmos

In the equation y = x² +5x +7, match each coefficient with its correct letter

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown.

Based on a quadratic model, which best approximates the height at 3 seconds?

• 52 feet

• 55 feet

• 65 feet

• 80 feet

When using Desmos to find the curve of best fit, what do I need to enter first?

• y₁ ~ ax₁² +bx₁ + c

• the equation

• the table/chart of values

• the vertex

How did we transform from the parent function?

• moved 2 to the right

• moved up 2

• moved 2 to the left

• moved down 2

Given f(x) = -x² , how did we transform from the parent function?

• Moved left

• Reflection over the x-axis

• Moved down

• got wider

Given f(x) = x² - 4 , how did we transform from the parent function?

• Shift left 4

• Shift up 4

• Shift right 4

• Shift down 4

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

What step transformed the graph y = x² to y = x² + 8

Expert helpful tip: Graph both in Desmos

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What part of the graphs do you look at to see how they transformed?

• vertex

• slope

• domain

• axis of symmetry