Quadratic Assessment

Front

Equation for axis of symmetry?

Back

x=3

Answer explanation

The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by the formula x = -b/(2a). If the vertex is at (3, y), then the axis of symmetry is x = 3, making 'x=3' the correct choice.

Front

What are the green dots called?

Back

roots or x-intercepts

Answer explanation

The green dots represent the points where the parabola intersects the x-axis. These points are known as the roots or x-intercepts, as they indicate the values of x for which the function equals zero.

Front

If the blue graph is f(x) = x², then the red must be...

Back

g(x) = x² - 5

Answer explanation

The red graph, g(x), is a vertical shift of the blue graph, f(x) = x². Since g(x) = x² - 5 shifts the graph down by 5 units, it is the correct choice. The other options represent different transformations.

Front

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

Back

narrow

Answer explanation

The equation y = 5(x - 5)² + 3 has a vertical stretch factor of 5, which makes the graph narrower than the parent function y = x². A factor greater than 1 indicates a narrowing effect.

Front

Back

(2x-1)(x+16), (x+16)(2x-1)

Answer explanation

To factor 2x^2 + 31x - 16, we look for two numbers that multiply to (2 * -16) = -32 and add to 31. The correct factors are (2x - 1)(x + 16). Thus, the correct answer is (2x - 1)(x + 16) or (x + 16)(2x - 1).