Unit 4 flashcard 2 review (Key features of the quadratic graph)

Front

What is the shape of a quadratic graph called?

Back

A parabola.

Front

What does it mean when a parabola opens downward?

Back

The vertex represents a maximum point.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph, depending on the direction it opens.

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What is the axis of symmetry in a quadratic graph?

Back

A vertical line that divides the parabola into two mirror-image halves, given by the equation x = h, where h is the x-coordinate of the vertex.

Front

What is the significance of the x-value of the vertex in a real-world application?

Back

It often represents the time at which a maximum or minimum occurs.

Front

How do you determine the maximum height of an object modeled by a quadratic function?

Back

Find the y-value of the vertex.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c.

Front

What do the coefficients a, b, and c represent in the quadratic equation?

Back

a determines the direction and width of the parabola, b affects the position of the vertex, and c is the y-intercept.

Front

What is the formula to find the vertex of a parabola given in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).