Based on this information, you can match the attributes to the quadratic functions as follows:
f(x) =
: x-intercept (3, 0), vertex (-1, -8), y-intercept (0, 3), axis of symmetry x = 1
g(x) =
: x-intercept (1, 0), vertex (-1, -8), y-intercept (0, 3), axis of symmetry x = 1
h(x) =
: x-intercept (3, 0), vertex (-1, -8), y-intercept (0, -6), axis of symmetry x = 1
Then, match the x-intercepts, vertex, y-intercept, and axis of symmetry to each quadratic function.
Finally, write down the matched attributes for each function.
To match the attributes to the quadratic functions, you need to analyze the given information and compare it with the characteristics of a quadratic function.
- The x-intercepts are the points where the quadratic function intersects the x-axis. The given x-intercepts are (3,0) and (1,0).
- The vertex represents the maximum or minimum point of the quadratic function. The given vertex is (-1,-8).
- The y-intercept is the point where the quadratic function intersects the y-axis. The given y-intercepts are (0,3) and (0,-6).
- The axis of symmetry is a vertical line that passes through the vertex and divides the quadratic function into two symmetrical halves. The given axis of symmetry is x = 1.
Based on this information, you can match the attributes to the quadratic functions as follows:
f(x) =
: x-intercept (3, 0), vertex (-1, -8), y-intercept (0, 3), axis of symmetry x = 1
g(x) =
: x-intercept (1, 0), vertex (-1, -8), y-intercept (0, 3), axis of symmetry x = 1
h(x) =
: x-intercept (3, 0), vertex (-1, -8), y-intercept (0, -6), axis of symmetry x = 1
The probable question may be:
Drag each label to the correct location on the table. Each label can be used more than once.
Match the attributes to the quadratic functions.
x-intercept: (3,0) , vertex (-1,-8), y-intercept: (0,3), y-intercept: (0,-6), axis of symmetry: x = 1, x-intercept: (1, 0)
f(x) = 2x2 + 4x − 6
g(x) = −2x2 + 4x + 3
h(x) = 2x^2-4x-6