Interpretation of Graphs (Grade 10 NSC Matric Mathematics): Quizzes

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Interpretation of Graphs
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For a parabola y=ax2+qy = ax^2 + q, what does it mean if the parabola opens downward?

The coefficient aa is negative

What is a key characteristic of hyperbolas?

Two separate curved branches in opposite quadrants

What pattern do trigonometric functions create on a graph?

Wave-like patterns repeating at regular intervals

What is the first step when finding a parabola equation from a graph?

Examine the sketch to determine sign of aa

How do you find the y-intercept of a function from its equation?

Set x=0x = 0 in the equation

How do you find the x-intercepts of a function from its equation?

Set y=0y = 0 in the equation

How do you find where two graphs intersect?

Set their equations equal and solve

For a hyperbola, what does it mean if branches lie in the 2nd and 4th quadrants?

The coefficient aa is negative

If points C(0,4)C(0, 4) and D(0,−2)D(0, -2) lie on same vertical line, what is distance CDCD?

6 units

Which is a common mistake when interpreting parabola graphs?

Confusing signs when parabola opens downward

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