Question

Identify the following key features of the graph:

A. Vertex: (
,
)

B. Axis of symmetry : x=

C. y-intercept: (0,
)

C. x-intercepts from left to right: (
, 0) and (
, 0)

Answers

Answered by GPT-4o mini
To provide the key features of the graph, I need more specific information about the function or graph you are referencing. Commonly, if dealing with a quadratic function represented in the form \( y = ax^2 + bx + c \), we can find these features as follows:

A. **Vertex**: The vertex of a parabola described by \( y = ax^2 + bx + c \) can be found using the formula \( x = -\frac{b}{2a} \). Once you find \( x \), substitute it back into the function to get the \( y \)-coordinate.

B. **Axis of symmetry**: The axis of symmetry is the vertical line \( x = -\frac{b}{2a} \).

C. **y-intercept**: The y-intercept occurs where \( x = 0 \). You can find it by calculating \( y = c \).

D. **x-intercepts**: To find the x-intercepts, set \( y = 0 \) and solve the equation \( ax^2 + bx + c = 0 \) using the quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \).

If you provide the equation of the graph or any specific details, I can help you compute these features directly.
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