9-1 Quadratic Graphs And Their Properties

1. What is the vertex of the parabola shown?

(-1, 0)

(0, -3)

(1, -4)

(3, 0)

The vertex of a parabola is the highest or lowest point on the curve. In this case, the vertex is given as (1, -4), which means that the parabola opens downwards and reaches its lowest point at x = 1 and y = -4.

Explanation

About This Quiz

9-1 Quadratic Graphs And Their Properties - Quiz

This quiz titled '9-1 Quadratic Graphs and their properties' evaluates understanding of quadratic functions. It includes identifying vertex coordinates, comparing graph widths, and matching equations to graphs, essential... see morefor mastering algebraic concepts in quadratic functions. see less

2. Which equation corresponds to the graph shown?

not-available-via-ai

Explanation

not-available-via-ai

3. Which equation has a graph that is narrower than the graph of

y space equals space 4 x squared plus 5

The equation that has a graph narrower than the graph of another equation is the one with a larger coefficient in front of the x term. A larger coefficient in front of the x term causes the graph to be stretched horizontally, making it narrower.

Explanation

4. Find the coordinates of the vertex of the graph of

y space equals space 4 minus x squared

. Identify the vertex as a maximum or a minimum.

(2, 0); maximum

(0,4); minimum

(0, 4); maximum

(2, 0); minimum

The coordinates of the vertex of the graph are (0, 4). The fact that it is identified as a maximum indicates that the graph reaches its highest point at this vertex.

Explanation

The coordinates of the vertex of the graph are (0, 4). The fact that it is identified as a maximum indicates that the graph reaches its highest point at this vertex.