Question

3. What do the parabolas x) = 3x² + 4x-9 and g(x)=-5x²-3x - 9 have in common? c. They have the same x-intercepts. a. They have the same y-intercept. b. They have the same vertex. d. They have the same axis of symmetry

Answer 1

Answer:

  a. They have the same y-intercept.

Step-by-step explanation:

You want to know what the parabolas f(x) = 3x² +4x -9 and g(x) = -5x² -3x -9 have in common.

X-intercepts

Referring to the attached graphs, we see that f(x) has two x-intercepts and g(x) has none. They do not have x-intercepts in common.

Y-intercept

The constants in the two functions are both -9. They have the same y-intercept.

Vertex

Referring to the attached graphs, we see that the functions have different vertices. They do not have a vertex in common.

Axis of symmetry

Referring to the attached graphs, we see that the x-coordinate of each vertex is different. They do not have an axis of symmetry in common.