2019 Category 4

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What is the positive solution to this equation? 4x² + 12x = 135

Mathematical Equivalence

ON

Which function best models the data?

• n(t) = -0.002t² + 0.55t + 5.02

• n(t) = 0.072t² - 0.15t + 2.73

• n(t) = -0.002t² + 5.02

• n(t) = 0.072t² + 2.73

Which graph best represents y = -x² + 6x - 1?

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The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

• h(x) = x² - 3x - 9

• h(x) = x² + 3x - 9

• h(x) = x² - 6x

• h(x) = x² + 6x

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

• The graph of g is a reflection of the graph of f across the x-axis.

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Which value of x is a solution to this equation? 5x² - 36x + 36 = 0

• x = -6

• x = 4

• x = -1.8

• x = 1.2

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

• y = 3x² + 12x + 33

• y = 3x² + 12x + 19

• y = 3x² + 19

• y = 3x² + 33

The graph of quadratic function k is shown on the grid.

• I and II only

• I and III only

• II and III only

• I, II, and III