Parametrics

Write x = 2t  and y = t² + 3  in rectangular form .

• y = 4x²  + 3
• y = ¼ x² + 3
• y = 4t² + 12
• y = (x - 2)² + 3

Calculate a rectangular equation (y=mx+b) for the parametric function
x = -2 + 2t
y = 2 - 1t

• y = -x +1
• y = -x + 2
• y = 1/2x +1
• y = -1/2x + 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What variables are involved in parametric equations?

• x

• t

• z

• y

Mr. Salaam hits a baseball to Mr. Shakin at 3 ft above the ground with an initial speed of 150 ft/sec and at angle of 18 degrees with the horizontal.

Model the y component with a parametric equation.

• y = -16t²+(150 sin 18)t

• y = -16t²+(150 sin 3)t+18

• y = -16t²+(150 sin 18)t+3

• y = 16t²+(150 sin 3)+18

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

Write the rectangular equation for the following parametric equations.

x = 4 - t

y = 2t + 1

• y = 9 - 2x

• y = 9 + 2x

• y = 7--2x

• y = 9 + 2x

Find the ordered pair based on the parametric equations.

t = -2

x = t² - 2

y = -t + 2

• (2, 4)

• (4, 2)

• (-6, 0)

• (0,-6)

The coordinates of a car at time t are given by x = 8 - t and y = 2t - 16. As t increases, which direction and path is the car traveling?

• from left to right along the path y = 2x - 16.
• from left to right along the path y = 2x.
• from right to left along the path y = -2x.
• from left to right along the path y = -2x.

Which set of parametric equations satisfies the given data table?

• x(t) = t³ - 1
  y(t) = 2t
• x(t) = t³ - 1
  y(t) = t + 2
• x(t) = t + 8
  y(t) = t + 2
• x(t) = t + 8
  y(t) = 2t

Tags

CCSS.HSF-IF.C.7B

Converting parametric equations to a rectangular equation is called _________________ the parameter.

• eliminating
• finding
• converting
• jumping