Unit 6 End-of-Unit Assessment

• The graph has a y-intercept at (2, 0).

• The coordinates of the vertex are (1, 1).

• The graph of the function opens downward.

• The x-intercepts are at (0, 0) and (2, 0).

Select ALL equations that could define the function.

Here is the graph of a quadratic function f. Select all equations that could define the function f.

• f(x) = (x + 2)(x + 6)

• f(x) = (x - 2)(x - 6)

• The y-intercept of the graph is at (0, c).

• The graph has an x-intercept at (c, 0).

• When a < 0 the graph opens downward.

• The graph has two x-intercepts.

• If b = 0, then the vertex is on the y-axis.

A quadratic function is defined by p(x) = (x - 1)(x + 3). Graph the function on the coordinate plane and label the coordinates of the x-intercepts, the y-intercept, and the vertex.

• x-intercepts: (1, 0) and (-3, 0); y-intercept: (0, -3); vertex: (-1, -4)

• x-intercepts: (1, 0) and (3, 0); y-intercept: (0, 3); vertex: (1, 2)

• x-intercepts: (-1, 0) and (3, 0); y-intercept: (0, -3); vertex: (1, -4)

• x-intercepts: (1, 0) and (-3, 0); y-intercept: (0, 3); vertex: (-1, 4)

Lin and Clare were standing in the woods near a stream, and each threw a stone up in the air at the same time so that it would land in the water. The graph represents the height of a stone t seconds after it was tossed up by Lin. The function f given by f(t) = -16(t + 1/2)(t - 1) represents the height of a stone t seconds after it was thrown by Clare. In both functions, height is measured in feet. Whose stone hit the water first? When did that happen?

• Clare’s. It happened 1 second after the stone was tossed.

• Lin’s. It happened 1 second after the stone was tossed.

• Clare’s. It happened 1.5 seconds after the stone was tossed.

• Lin’s. It happened 1.5 seconds after the stone was tossed.

Did Clare’s stone reach a higher maximum than Lin’s stone?

• No. Both functions have the same maximum value.

• Yes. Clare’s stone reached a higher maximum than Lin’s stone.

• Yes. Lin’s stone reached a higher maximum than Clare’s stone.

• No. Lin’s stone reached a higher maximum than Clare’s stone.

What was the maximum height of Clare’s stone?

• 9 feet.

• 6 feet.

• 12 feet.

• 15 feet.

A quadratic function is defined by g(x) = (x + 4)^2 + 7. What is the vertex of the graph of function g?

• (-4, 7)

• (4, 7)

• (-4, -7)

• (0, 7)

A quadratic function is defined by g(x) = (x + 4)^2 + 7. Does the vertex represent the minimum value or the maximum value of the function? Explain or show how you know.

• The vertex represents the minimum.

• The vertex represents the maximum.

• The vertex represents neither minimum nor maximum.

• The vertex represents both minimum and maximum.

A quadratic function is defined by g(x) = (x + 4)^2 + 7. If you were to shift this graph 6 units down from where it is now, what would be the equation represented by the new graph?