Quadratics Quiz

The vertex of the quadratic function f(x) is (4, -7). The vertex of g (x) is (0, 7). Which steps could transform f(x) to g (x)?

• a translation 4 units to the left and 7 units up

• a translation 4 units to the right and 7 units down

• a reflection across the x-axis followed by a translation 4 units to the left

• a reflection across the x-axis followed by a translation 4 units to the right

One of the parabolas in the graph represents the parent function, f(x) = x^2. Which function could represent the other parabola?

• g(x) = x^2 + 5

• . g(x) = -(x^2 + 5)

• . g(x) = -(x + 5)^2

• . g(x) = -x^2 + 5

Identify g(x) as a translation, compression, stretch, or reflection of the parent function, f(x) = x^2.

g(x) = -x^2

• translation

• compression

• stretch

• reflection

Identify g(x) as a translation, compression, stretch, or reflection of the parent function, f(x) = x^2.

g(x) = 1/2x^2

• Translation

• compression

• stretch

• reflection

Identify g(x) as a translation, compression, stretch, or reflection of the parent function, f(x) = x^2.

g(x) = (x+3)^2

• translation

• compression

• stretch

• reflection

What steps transform the graph of y = x^2 to y = 1/2(x - 2)^2 - 1?

Based on the axis of symmetry, vertex, and y-intercept, which graph represents the function y = 3x^2 + 12x - 6?

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Which equation matches the graph shown?

• y = 8x^2 + 2x - 5

• y = 8x^2 + 2x + 5

• y = 2x^2 + 8x + 5

• y = 2x^2 + 8x - 5

What are the coordinates of the vertex of the graph of the function y = 3x^2 - 12x + 3?

• (-2, 29)

• (2,-15)

• (2,-9)

• (3,-6)

What is the order, from narrowest to widest graph, of the quadratic functions f(x) = -10x^2, g(x) = 2x^2, and h(x) = 0.5x^2?

• f(x), g(x), and h(x)

• g(x), f(x), and h(x)

• h(x), g(x), and f(x)

• h(x), f(x), and g(x)