Modeling Quadratic Functions and Graphs

This video tutorial reviews questions from the 2019 Algebra 1 EOC for Texas, focusing on category 4. It covers test-taking strategies, calculator tips, and concepts such as the domain and range of quadratic functions, transformations, solving equations, and modeling data. The video aims to prepare students thoroughly for their tests.

What is the main focus of the video tutorial?

• Discussion on linear equations

• Overview of geometry problems

• Introduction to calculus concepts

• Review of all questions from category 4 in the 2019 Algebra 1 EOC

What is the domain of the function in the golf ball example?

• 0 to 500

• 0 to 230

• 0 to 300

• 0 to 100

How does the transformation f(x) + 2 - 5 affect the graph of a quadratic function?

• Moves right 2, up 5

• Moves right 5, up 2

• Moves left 5, down 2

• Moves left 2, down 5

What is the positive solution to the equation 4x^2 + 12x - 135 = 0?

• 4.5

• 3.5

• 5.5

• 2.5

Which function best models the data for text messages sent and received?

• y = 0.072t^2 - 0.5t + 2.73

• y = 0.1t^2 - 0.3t + 2.5

• y = 0.05t^2 - 0.4t + 2.8

• y = 0.08t^2 - 0.6t + 2.6

Which graph best represents y = -x^2 + 6x - 1?

• Graph D

• Graph C

• Graph B

• Graph A

What is true about the graph of g(x) = f(x) - 9?

• The y-intercept is 9 units below the original graph

• The graph is a reflection of the original

• The vertex is 9 units to the right

• The graph is a reflection over the x-axis

Which value of x is a solution to the equation graphed?

• x = 7

• x = 9

• x = 5

• x = 3

Which function is equivalent to y = 3(x + 2)^2 + 7?

• y = 3x^2 + 12x + 19

• y = 3x^2 + 8x + 15

• y = 3x^2 + 10x + 17

• y = 3x^2 + 14x + 21

Which statements are best supported by the graph of function k?

• The axis of symmetry is x = 3

• The y-intercept is at (0, 5)

• The x-intercept is at (-3, 0)

• The vertex is at (3, 9)