1. Abby wants to find the area of a rectangle that is 6 units longer than 2 times its width. If the width is represented by “w,” write an equation.

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Presentation transcript:

1. Abby wants to find the area of a rectangle that is 6 units longer than 2 times its width. If the width is represented by “w,” write an equation that represents the area, “A”.

2. Write the quadratic function 𝑓 𝑥 =(2−𝑥 ) 2 in standard form.

3. Does the domain, range, vertex, or width change when a graph is stretched/shrunk?

4. If the vertex of a parabola moves from (-2, -2) to (5, -9), what transformations have taken place?

5. Write the equation for a reflection and translation 5 units up of the parent function f(x) = x2.

6. Write the equation for a vertical stretch by a factor of 12 and a translation 7 units right of the parent function f(x) = x2.

7. Write the equation for a translation 2 units left and 4 units down of the parent function f(x) = x2.

8. Identify the vertex and axis of symmetry. 𝑦= 𝑥 2 −4𝑥+12

9. Identify the vertex and axis of symmetry. 𝑦=− 𝑥 2 +8𝑥−9

10. Solve by Factoring. 6 𝑥 3 −21 𝑥 2 +18𝑥=0

2. Marlon wants to find the area of a rectangular basketball court that is 10 feet longer than 3 times its width. If the width is represented by “w,” write an equation that represents the area, “A”? 4. AOS: Vertex: Zeros: Y-Int:

Solve the equation. Please show the work indicating how you reached your solutions 10.) 4x2 -2x = x2 + 4x + 12 11.) x2 + 6x – 2 = 2x2 + 4x – 5 Identify vertex and AOS. 13.) 𝑦=− 𝑥 2 −2𝑥+3 Extra Credit: 12 𝑥 3 −16 𝑥 2 −80𝑥=0