Vertex Form Quadratic Equations

What does the 'a' value in the vertex form indicate?

• It indicates the height of the vertex.

• It indicates the direction and width of the parabola.

• It indicates the x-intercept of the parabola.

• It indicates the y-intercept of the parabola.

• (3, 1)

• (2, 0)

• (4, 2)

• (1, 3)

How does the value of 'a' affect the width of the parabola?

• The larger the absolute value of 'a', the wider the parabola.

• The smaller the absolute value of 'a', the narrower the parabola.

• The value of 'a' has no effect on the width of the parabola.

• The width of the parabola is constant regardless of the value of 'a'.

What does it mean for a parabola to open downward?

• The 'a' value in the vertex form @@y = a(x - h)^2 + k@@ is positive.

• The 'a' value in the vertex form @@y = a(x - h)^2 + k@@ is zero.

• The 'a' value in the vertex form @@y = a(x - h)^2 + k@@ is negative.

• The 'a' value in the vertex form @@y = a(x - h)^2 + k@@ is greater than one.

What happens to the graph of @@y = x^2@@ when you multiply it by -1?

• The graph reflects over the x-axis, opening downward.

• The graph shifts to the right, opening upward.

• The graph remains unchanged, still opening upward.

• The graph reflects over the y-axis, opening downward.

What is the axis of symmetry for the parabola given by the equation @@y = -2(x + 1)^2 + 3@@?

• x = 0

• x = -2

• x = -1

• x = 1

If the vertex of a parabola is (0, -2), what is the vertex form of the equation if it opens upwards?

• @@y = a(x - 0)^2 - 2@@, where 'a' is a positive number.

• @@y = a(x + 0)^2 + 2@@, where 'a' is a positive number.

• @@y = a(x - 0)^2 + 2@@, where 'a' is a negative number.

• @@y = a(x + 0)^2 - 2@@, where 'a' is a negative number.

What is the vertex of the parabola represented by the equation @@y = -\frac{1}{2}(x + 4)^2 + 6@@?

• (-4, 6)

• (4, -6)

• (-6, 4)

• (0, 6)

What is the effect of changing the 'h' value in the vertex form?

• It shifts the graph vertically.

• It shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

• It changes the width of the graph.

• It reflects the graph over the x-axis.

What is the effect of changing the 'k' value in the vertex form?

• It shifts the graph horizontally.

• It shifts the graph vertically. If 'k' increases, the graph shifts up; if 'k' decreases, it shifts down.

• It changes the width of the graph.

• It reflects the graph over the x-axis.