Compare Quadratic Forms

Which of the following correctly shows the vertex of this graph

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Convert the following graph into standard form:

In which form is this equation? y = (x - 3)² + 4

• Standard

• Intercept

• Vertex

• Parabolic

Which form is this in? y = 3x² - 7x + 2

• Intercept

• Standard

• vertex

• Cubic

What is the name of this form:
y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

Which function is quadratic?

• f(x)

• h(x)

• g(x)

Compare the shape of a linear function graph to a quadratic function graph.

• A linear function graph is a parabola, and a quadratic function graph is a straight line.

• A linear function graph is a straight line, and a quadratic function graph is a curve.

• A linear function graph is a curve, and a quadratic function graph is a straight line.

• A linear function graph is a straight line, and a quadratic function graph is a parabola.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Match the following forms of equations with their correct descriptions.

• Vertex form of a quadratic equation

• y = ax² + bx + c

• Standard form of a quadratic equation

• y = mx + b

• Slope-intercept form of a linear equation

• y = a(x - h)² + k

Answer explanation

The correct choice is y = a(x - h)^2 + k, which represents the vertex form of a quadratic equation with the vertex at (h, k).

What's the y-intercept? y = 2x² + 6x + 7

• (0, -7)

• (7, 0)

• (0, 7)

• (-7, 0)

Tags

CCSS.HSF-IF.C.7A