How do you identify the y-intercept from the equation $$y = -3(x + 2)^2 - 5$$ ?

Substituting $$x = 0$$ gives $$y = -3(0 + 2)^2 - 5 = -3(4) - 5 = -12 - 5 = -17$$ , so the y-intercept is (0, -17).

What is the y-intercept of the function $$f(x) = x^2 + 5x - 14$$ ?

Substituting $$x = 0$$ gives $$f(0) = 0^2 + 5(0) - 14 = -14$$ , so the y-intercept is (0, -14).

How do you find the y-intercept of the function $$f(x) = x^2 + 2x - 24$$ ?

Substituting $$x = 0$$ gives $$f(0) = 0^2 + 2(0) - 24 = -24$$ , so the y-intercept is (0, -24).

What is the general shape of a quadratic function's graph?

The graph of a quadratic function is a parabola, which can open upwards or downwards.

What is the formula to find the vertex of a quadratic function in standard form?

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ , where 'a' and 'b' are coefficients from the standard form $$y = ax^2 + bx + c$$ .

What does it mean if a quadratic function has no real roots?

If a quadratic function has no real roots, it means the graph does not intersect the x-axis, indicating that the vertex is either above or below the x-axis depending on the direction of the parabola.

How can you graph a quadratic function?

To graph a quadratic function, find the vertex, y-intercept, and any x-intercepts, then plot these points and draw a smooth curve through them.

What is the relationship between the coefficients of a quadratic function and its graph?

The coefficients determine the shape, direction, and position of the parabola on the graph.

Analyzing Quadratic Function Graphs #3 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards.

2.

FLASHCARD QUESTION

Front

How can you determine if a quadratic function has a maximum or minimum vertex?

Back

3.

FLASHCARD QUESTION

Front

What is the y-intercept of a function?

Back

4.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a quadratic function?

Back

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